What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)

Answers

Answer 1

Answer:

Step-by-step explanation:

6--6 = 12

4-1 = 3

12/3 = 4

y=4x

-6-4 = -10

y=4x-10

Answer 2

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (1, -6) and (4, 6).

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

Now,

(1, -6) = (a, b) and (4, 6) = (c, d)

Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4

m = 4

The equation of a line is given as y = mx + c.

(1, -6) = (x, y)

-6 = 4 x 1 + c

-6 = 4 + c

-6 - 4 = c

c = -10

Now,

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2


Related Questions

Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?

Answers

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

hope this helps you :)

Answer:

The answer is 102

Step-by-step explanation:

Did it on edg hope this helps :)

match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5

Answers

Answer:

21/25 ---> 84%

13/20 ---> 65%

3/5 ---> 60%

3/4 --->75%

2/5 ---> 40%

The quotient of a number and -5 has a result of 2. What is the number?
n =
Plz help

Answers

Answer:

n / -5 = 2

n = - 10

A circle , with centre O , radius 6cm has chords AB and CD which intersects at x . Find OX , if AX = 3cm and XB = 2cm​

Answers

Answer:

OX = 5.4772 cm

Step-by-step explanation:

Please check image attached for the drawing of the circle with the chords and points.

From the theorem of intersecting chords, we have:

AE * EB = EF * EG

With AE = AX - EX, EB = BX + EX, EF = 6 - EO and EG = 6 + EO, we have:

(AX - EX) * (BX + EX) = (6 - EO) * (6 + EO)

(3 - EX) * (2 + EX) = 36 - EO^2

6 + EX - EX^2 = 36 - EO^2

EO^2 - EX^2 + EX = 30 (eq1)

From the triangle AEO, we have:

AE^2 + EO^2 = OA^2

(AX - EX)^2 + EO^2 = 6^2

(3 - EX)^2 + EO^2 = 36

9 - 6*EX + EX^2 + EO^2 = 36

EX^2 - 6*EX + EO^2 = 27 (eq2)

If we do (eq1) - (eq2), we have:

-2*EX^2 + 7*EX = 3

2*EX^2 - 7*EX + 3 = 0

Solving this quadratic equation, we have EX = 3 cm or EX = 0.5 cm

EX cannot be 3 cm, because AE would be 0 cm, so EX = 0.5 cm

Calculating EO, we have:

EO^2 - 0.5^2 + 0.5 = 30

EO^2 = 29.75

EO = 5.4544 cm

Now, using Pythagoras in the triangle EOX, we have:

EO^2 + EX^2 = OX^2

29.75 + 0.25 = OX^2

OX^2 = 30

OX = 5.4772 cm

2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?​

Answers

Answer:

81.8 kg

Step-by-step explanation:

To find the total mass you have to add both of their mass

46.2 kg+35.6 kg= 81.8 kg

Their total mass is 81.8 kg #

Please help me

What is the sum of the series?
Enter your answer in the box.

Answers

Answer:

the sum of the series is 365 is my answer

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 A

2 A

Step-by-step explanation:

1. steps can be positive whole numbers only

2. there is 15 steps

Help. Summer school math please.

Answers

Answer:

y = 3x

where y is the plant height in cm and x is the time in months

at 12 months, height would be 36 cm

Step-by-step explanation:

Here, we want to model the data

let’s call the months x and the height y

What do you notice?

we can clearly see that the height is always 3 times the month

3 * 3 = 9

5 * 3 = 15

7 * 3 = 21

9 * 3 = 27

so we can say that;

Time in months * 3 = Plant height in cm

using the x and y notation;

x * 3 = y

or simply y = 3x

Now the height at 12 months can be calculated by substituting the value of x for 12

y = 3 * 12 = 36 cm

What is the sum?4 1/2 + 5 1/2

Answers

Answer:

10

Step-by-step explanation:

plz mark as brainliest

Answer:

10

Step-by-step explanation:

simplify the equation

Answers

Answer:

3a^4

Step-by-step explanation:

Answer:

3 a^4

Step-by-step explanation:

4a * 6a^5 / 8a^2

Multiply the terms in the numerator

We know that we add the exponents when like terms with exponents are multiplied

24 a ^(1+5) = 24a^6

24a^6 / 8 a^2

Divide the whole numbers and subtract the exponents since we are dividing like terms with exponents

3 a^(6-2)

3 a^4

The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.


When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.

Answers

Answer:

Blue

Step-by-step explanation:

I just got this question correct

Answer:

Blue

Step-by-step explanation:


[tex] {x}^{2} - 4x = 21[/tex]
what are the x intercepts?

Answers

Answer:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x( x - 7 ) + 3 ( x - 7 ) = 0

( x + 3 ) ( x - 7 ) = 0

x + 3 = 0 and x - 7 = 0

x = -3 and x = 7

Two number cubes are rolled .what is the probability that the sum of the numbers on the cubes is 12 ?? The Answer is fraction


A.12/36
B.1/36
C.1/12
D.35/36

Answers

Answer:

The answer would be B.(1/36)

help me please !!!!!!

Answers

Answer:

256 ft^250 ft^225 ft^2281 ft^2

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

  SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

  SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

  = 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

__

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

  LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

__

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

  B = (5 ft)^2 = 25 ft^2 . . . blank 3

__

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

  total exposed area = (exposed prism area) + (pyramid lateral area)

  = (prism area) - (pyramid base area) + (pyramid lateral area)

  = 256 ft^2 - 25 ft^2 + 50 ft^2

  total exposed area = 281 ft^2 . . . blank 4


PLZZ HELP!!!!!!
Solve the equation, justify each step with an algebraic property: -2 = x + 28 *

x = -26, Subtraction Property of Equality
x = -30, Addition Property of Equality
x = -14, Division Property of Equality
x = -30, Subtraction Property of Equality

Answers

Answer:

The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-2 = x + 28[/tex]

Turn the equation over:

[tex]x + 28 = -2[/tex]

-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:

[tex]x + 28 - 28 = -2 - 28[/tex]

[tex]x = -30[/tex]

So, the final answer is [tex]x = -30[/tex] .

Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.




Use the given expression to complete the statements below.


The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of.


The choices are for 1 are sum, quotient, square, product. Choices for 2 is quotient, sum, product, difference. Choices for 3 are compounding periods, months, years.

Answers

Complete Question:

sierrac3000

06/28/2019

Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.

250(1+0.018/2)^2t

Use the given expression to complete the statements below.

The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*

1st Blank:

Product

Sum

Quotient

Square

2nd Blank:

Quotient

Product

Difference

Sum

3rd Blank:

Compounding Periods

Years

Months

Answer:

1st blank = product

2nd blank = sum

3rd blank = years

Step-by-step explanation:

The expression given above is :

250(1+0.018/2)^2t

The expression can thus be explained as:

The *product* of the amount initially deposited and the *sum* of one and the rate of increase raised to the number of *years*

The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor

Answers

Answer:

477 yards

Step-by-step explanation:

1 foot to a yard is 0.333333.

1431 times 0.333333=477yards

Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept form by using the ordered pairs (1, 7) and (2, 5). x y 1 7 2 5 3 3 4 1 What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?

Answers

Answer:

y=-2x+9

Step-by-step explanation:

In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y the unknown side

Answers

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

I need to know the answer for the picture

Answers

Answer:

a = 2

Step-by-step explanation:

We can use cross products to solve

8         a

----- = -------

28        7

8*7 = 28*a

Divide each side by 28

56/28 = 28a/28

2 =a

Answer:

2

Step-by-step explanation:

Given:  

    8         a

 ------- = ------   Find the value of a that makes this equation true.  

   28        7

  Cross multiplying, we get 28a  =  56, and so a works out to 2.

Check:  Does 8/28 = 2/7?  Yes.

Factorise 7a^3b^2 - 14a^2b^3

Answers

Answer:

[tex]7a^2b^2\left(a-2b\right)[/tex]

Step-by-step explanation:

[tex]7a^3b^2 - 14a^2b^3[/tex]

[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]

[tex]=7a^2b^2\left(a-2b\right)[/tex]

According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.

Will mark brainiest!

Answers

Answer: The answer is D

Step-by-step explanation:

If you read all the answers only D is true

Answer:

Its C. Trust me

Step-by-step explanation:

I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.

URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!! 1. A cartographer wants to create a map of Seattle. He has designed a key/legend for the map indicating that 1 cm equals 2 miles. If the distance between Woodland Park Zoo and the Seattle Aquarium is 5.2 miles, how long is the distance going to be on the map? A) 2.6 cm B) 8.2 cm C) 6 cm D) 10.4 cm 5. What similarity property, if any, can be used to show that the following two triangles are similar. A) SAS B) SSS C) AA D) Not enough information given

Answers

Answer:

1. 5.2 / 2 = 2.6 cm

2. Since 2 angles are congruent the answer is AA.

lola rode her bike for 7/10 of an hour on Saturday, and 3/5 of an hour on Sunday.
How much longer did she ride her bike on Saturday and Sunday?

Answers

Answer:

She rode 1/10 of an hour more on Saturday

Step-by-step explanation:

Take the time she rode on Sunday and subtract that from Saturday

7/10 - 3/5

Get a common denominator

7/10 - 3/5*2/2

7/10 - 6/10

1/10

She rode 1/10 of an hour more on Saturday

For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?

Answers

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?

Answers

Answer:

1,1

Step-by-step explanation:

just a guess

The midpoint of the line segment AB is (1, 1).

We have,

To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Using the given endpoints:

A = (0, 4)

B = (2, -2)

We can substitute these values into the midpoint formula:

M = ((0 + 2) / 2, (4 + (-2)) / 2)

M = (2/2, 2/2)

M = (1, 1)

Therefore,

The midpoint of the line segment AB is (1, 1).

Learn more about midpoints of line segments here:

https://brainly.com/question/13792156

#SPJ2

A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?

Answers

Answer:

total cinnamon sold = 15

total cranberry sold = 40

so, according to the question

cranberry - cinnamon muffin

40-15

25

Hence, 25 cranberry muffins were sold more than cinnamon muffins.

The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

What is an expression?

An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.

Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.

We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.

Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:

2/3 = x/60

Where x is the number of cranberry muffins sold.

Multiplying both sides of the equation by 60, we get:

2/3 * 60 = x

Simplifying, we get:

x = 40

So, 40 cranberry muffins were sold on Monday.

Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:

4/1 = 60/y

Where y is the number of cinnamon muffins sold.

Multiplying both sides of the equation by y, we get:

4y = 60

Dividing both sides of the equation by 4, we get:

y = 15

So, 15 cinnamon muffins were sold on Monday.

Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:

40 - 15 = 25

Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

To know more about an expression follow

https://brainly.com/question/16790323

#SPJ2

The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt

Answers

Answer:

5 9

----- = ------

750 x

Step-by-step explanation:

Answer:

750 / 5  = c / 9

Step-by-step explanation:

16+12x-5x+4y-7 Simply the expression

Answers

Answer:

Combing like terms we get 7x + 4y + 9.

I tried doing it step by step hope it helps.

Can someone please help me. I need help on the 5 one

Answers

Answer:

The second option

Step-by-step explanation:

On the right hand side you have all the multiples of 4, on the left hand side you have 5

The multiples of four are ...,-8,-4,0,4,8,....

so the simbol that means that 5 is not an element of the multiples of four is the second option.

Other Questions
All trapezoids are parallelograms.A. TrueB. False In the context of the competitive environment of business, unlike leading-edge firms, bleeding-edge firms offer products just as the market becomes ready to embrace them. a. True b. False A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $10.41 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. What is the equation of the circle with center (11, 6) that passes through the point (17, 12)? A)(x 11)2 + (y + 6)2 = 36 B)(x 11)2 + (y 6)2 = 36 C)(x + 6)2 + (y 11)2 = 72 D)(x 11)2 + (y 6)2 = 72 What is the surface area of a cylinder with base redius 2 and height 9 the vessel in which electrolysis takes place is called PLEASE GUYS ANSWER IT find the word or phrase in the sentence below that is incorrect? while i did my homework, i had a good idea All of the following are signs or symptoms of testicular cancer except: A.fever B.breast tenderness C.a lack of symptoms D.swollen and/or enlarged testicles The Prospect Company estimates that its overhead costs will amount to $602,000 and the company's manufacturing employees will work 86,000 direct labor hours during the current year. Overhead costs are allocated based on direct labor hours. If actual overhead costs for the year amounted to $619,000 and actual labor hours amounted to 87,000, then overhead cost would be:___________. A- underapplied by $10,000. B- overapplied by $4,000. C- underapplied by $17,000.D- overapplied by $10,000. what are the 8 core subject areas that employer expect all employees to know Compounds formed when non-metals react with metals consist of particles called ionic compound How many grams of the salt CaF2 (g) are formed when 15.7 mL of 0.612 M KF reacts with an excess of aqueous calcium bicarbonate (Ca(HCO3)2) via a metathesis reaction? personally, what do you believe the benefits of the Coronavirus are. Write in the space provided the type of non-Mendelian inheritance from the list above that matches the descriptions or the examples listed below. 1. ________when a gene has more than two allele variants.2. ________Whena singlegene orallele controls the expression of 2 or more traits. 3. _______when offspring show a blended phenotype, a physical appearance intermediate to the phenotype of both parents.4. _______when an allele is carried in the X chromosome. 5. _______when two dominant alleles are equally expressed in the phenotype. 6. _______when a snapdragon plant with red flowers is crossed with a snapdragon plant with white flowers and all their offspring produce pink flowers. 7. _______when the offspring of a red bull and a white cow producer oan offspring, a coat pattern that shows an equal mixture ofred hairs and white hairs. 8. _______when one gene controls the expression of a gene at a different locus. 9. _______in humans, wetear wax and strong body odor are two characteristics controlled by one allele. 10 ______red-green color blindness is a deficiency that appears more frequently in men. Boys inherit thered-green color deficiency allele from their mothers. According to the online content article, what is the main difference between a culture and a civilization?A.There is no difference between the two terms.B.Civilization refers to a groups way of life, while culture only looks at particular elements.C.Culture refers to a groups way of life, while civilization refers to an advanced or complex group that coexists near other cultural groups.D.Culture refers to the different elements that make a cultural group unique, while civilization refers to the similarities found amongst all the groups when compared to each other. (25 pts) Between which consecutive years was the decrease in the price of gold per ounce the greatest?1975-761973-741972-731974-75 Heidee Corp. and Leaudy Corp. have identical assets, sales, interest rates paid on their debt, tax rates, and EBIT. However, Heidee uses more debt than Leaudy. Which of the following statements is CORRECT? A) Heidee would have the higher net income as shown on the income statement. B) Without more information, we cannot tell if Heidee or Leaudy would have a higher or lower net income. C) Heidee would have the lower equity multiplier for use in the Du Pont equation. D) Heidee would have to pay more in income taxes. E) Heidee would have the lower net income as shown on the income statement. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a left-tailed test is z = -1.63. a. 0.1032; fail to reject the null hypothesis b. 0.0516; reject the null hypothesis c. 0.9484; fail to reject the null hypothesis d. 0.0516; fail to reject the null hypothesis If you could have voted for or against the Women's Movement Equal Rights Amendment in the 1970s, what would you have done? Communication Methods Among TeensFrequency Two-Way TableWhich answer shows the relative frequency by the rowof girls?O 52.5%, 23.0%, 24.6%, 100%O 57.0%, 12.2%, 27.8%, 100%O 60%, 12.2%, 27.8%, 100%O 62.8%, 44.0%, 62.5%, 100%Texte-MailIMTotalBoys32141561Girls54112590Total862540151