Write the equation of the line that passes through the points (3,5) and (-1,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer 1

Given:

A line passes through the two points (3,5) and (-1,1).

To find:

The equation of the line in fully reduced point-slope form.

Solution:

If a line passes through two points, then the point slope form of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is

[tex]y-5=\dfrac{1-5}{-1-3}(x-3)[/tex]

[tex]y-5=\dfrac{-4}{-4}(x-3)[/tex]

[tex]y-5=1(x-3)[/tex]

Therefore, the  point slope form of the line in fully reduced form is [tex]y-5=1(x-3)[/tex], here 1 is the slope of the line.


Related Questions

Give the standard form for 80.000 + 200 + 2.

Answers

80202 that’s the answer

Select the correct answer.

The population of California is approximately 3.8 x 10', and the population of Nebraska is approximately 1.9 x 109. Which state has the larger
population, and by how many times is its population larger than the other state's?

OA. The population of California is 20 times greater than the population of Nebraska.

OB. The population of Nebraska is 20 times greater than the population of California.

OC. The population of California is 5 times greater than the population of Nebraska.

OD. The population of Nebraska is 5 times greater than the population of California.

Answers

Answer:

C.  

The population of California is 5 times greater than the population of Nebraska.

Step-by-step explanation:

The radius of a circle is 5 inches
What is the circumference of the circle?​

Answers

Answer: 31.41592654 inches

Step-by-step explanation:

C = pi (d)

C = pi (10)

C = 31.41592654 inches

In a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40
centimeters long, find its width.
A. 32 cm.
B. 36 cm.
C. 44 cm.
D. 50 cm.

Answers

Answer:

50 cm

Step-by-step explanation:

4/5 = 40/x

cross multiply

4x=200

x=50

Answer: A. 32cm

Divide 40/5 and get 8 then multiply 4*8

What is the value of the expression
when x = 12 and p = -4?

Answers

Answer:

-48

Step-by-step explanation:

Which graph represents f(x)=−2x2?

Answers

Answer:

a

Step-by-step explanation:

it has a negative number which causes the parabola to be a maximum as opposed to a minimum

Using parabola concepts, it is found that the graph that represents [tex]f(x) = -2x^2[/tex] is given by option A.

The graph of a second degree equation is a parabola.If the leading coefficient, that is, the term that multiplies [tex]x^2[/tex] is positive, the parabola is concave up.Otherwise, if the leading coefficient is negative, the parabola is concave down.

In this problem, we have [tex]f(x) = -2x^2[/tex], which has a negative leading coefficient, thus it is a concave down parabola, which is represented by option A.

A similar problem is given at https://brainly.com/question/24042425

In a diagram a person who is 6ft tall is standing on the ground 3ft away from point P, A line segment drawn from the top corner of the building to point P creates two similar triangles

Answers

Answer:

G

Step-by-step explanation:I need 2o characters

The average price of gas in 2000 was $1.57 per gallon, and $2.30 in 2005. What is the rate of change for each year between 2000 to 2005?

Answers

Answer: $ 0.146 per year.

Step-by-step explanation:

Given: Average price of gas in 2000 = $1.57 per gallon

Average price of gas in 2005 = $2.30 per gallon

The rate of change for each year between 2000 to 2005

= [tex]\dfrac{\text{Change in price}}{\text{Change in time}}[/tex]

[tex]=\dfrac{\text{Price in 2005- Price in 2000}}{2005-2000}\\\\=\dfrac{2.30-1.57}{5}\\\\=\dfrac{0.73}{5}=0.146[/tex]

Hence, the rate of change for each year between 2000 to 2005 is $ 0.146 per year.

PlZ HELP i dont know answer​

Answers

It’s b: 25 because 5^2 is 25

Reduce the fraction 6/12

Answers

Answer:

1/2

Step-by-step explanation:

Please Mark as Brainliest

Answer:

1/2

Step-by-step explanation:

just take the factors of 6/12 and in this case the biggest one is 6 6/6=1 and 12/6 =2 so 1/2

Which list contains only prime numbers? A. 2, 3, 4 B. 5, 3, 17 C. 14, 16, 22 D. 25, 26, 15

Answers

Answer:

B

Step-by-step explanation:

It only has prime numbers.

Prime numbers are numbers that don't have two whole numbers (besides 1 and itself) that have factors to them.

Ex.) 15 isn't a prime number.

5(3).

Ex.) 7 is a prime number

Nothing besides 7 and 1 works

7(1)

Fun fact: 2 is the only even prime number

=) Good Luck

What is the mean of the data set shown below?

{10, 2, 8, 9, 5, 2, 6}
A. 42
B. 7
C. 6
D. 2

Answers

answer- the answer is c. 6

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given \: data}}} : [/tex]

10 , 2 , 8 , 9 , 5 , 2 , 6

[tex] \underline{ \underline{ \text{Here :}}}[/tex]

N ( total number of items ) = 7[tex] \tt \sum \: x \: = 10 + 2 + 8 + 9 + 5 + 2 + 6 = 42[/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Mean of the given data

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \underline{ \tt{Mean = \frac{ \sum \: x}{n} }}}[/tex]

⟶ [tex] \tt{ \frac{42}{7}} [/tex]

⟶ [tex] \tt{6}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \: 6}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

the four angles of a quadrilateral at
in the ratio 1:2:3:4 find the angles

Answers

Answer:

36°, 72°, 108°, 144°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

sum the parts of the ratio, 1 + 2 + 3 + 4 = 10 parts

Divide 360° by 10 to find the value of one part of the ratio

360° ÷ 10 = 36° ← value of 1 part of the ratio, then

2 parts = 2 × 36° = 72°

3 parts = 3 × 36° = 108°

4 parts = 4 × 36° = 144°

The 4 angles are 36°, 72°, 108°, 144°

Choose the correct label for the solution to each system of equations from the drop-down menus.

Answers

What are the options for the each of them? I’d be happy to help. :)

Find the missing side length on the triangle. 21 yd 28vd​

Answers

Answer:

×by× ︎︎︎︎︎︎︎︎︎︎︎

Which coordinate pair identifies the point in the third quadrant of the coordinate plane?
A) (4,2)
B)(-2,3)
C)(3,-3)
D (-2,-2)

Answers

The correct answer is D

Answer:

The is answer is D

Step-by-step explanation:

It is because the third quadrant is ( -, - )

Find the surface area and volume of the figure. Round to the nearest tenth.

Answers

Answer:

SA=64

V=28

Step-by-step explanation:

formula for SA: 2(lw+hw+lh)

formula for volume: l*w*h

where

l-(length)=2

w-(width)=2

h-(height)=7

lets solve for SA first:

2(2*2+2*7+2*7)

2(4+14+14)

2(32)

64

SA=64

now lets solve 4 volume

v=lwh

v=2*2*7

v=28

5) Name five decimals whose values are between 0.33 and 0.35.

Answers

Answer:

0.335,

0.3375,

0.34,

0.3425,

0.345,0

Step-by-step explanation:

The five decimals whose values are between 0.33 and 0.35 are  0.331  , 0.332 , 0.335 , 0.337 , 0.339.

What are digits?

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

A digit is a part of a set that, when combined, makes up a numeration system.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Given two decimals 0.33 and 0.35

Both decimals are up to tenth only so all values of thousands between 1 to 9 will lie between 0.33 and 0.35.

For example 0.331  , 0.332 , 0.335 , 0.337 , 0.339.

Hence " The five decimals whose values are between 0.33 and 0.35 are  0.331  , 0.332 , 0.335 , 0.337 , 0.339".

To learn more about digits,

https://brainly.com/question/10913044

#SPJ5

There are two questions here so if you wanna help with both you can or just 1 that's good as well I just can't fail this test

Answers

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set. Created by Sal Khan.

(question 7)

Step-by-step explanation:

Show and explain how you will estimate the answer to the problem for 4 3/8+5 6/10
i need this answer asap.

Answers

Estimate:4+6=10
Actual: 9.975

Which part of the algebraic expression 3 + 7d is the coefficient?

Answers

Answer:

your answer is 7 the coefficient is the number before the variable

help please please help

Answers

For the first one the scale factor is 2
The second one x is equal to 8

what is the additive inverse of
a -66
b 66
c- 1/66
6 1/66​

Answers

Answer:

a.

Step-by-step explanation:

a. is the answer to your question

Answer: I can't see what it is, cause it says of and I do not know what you are talking about. I hope you find some luck somewhere.

Have a blessed day. Bye

Step-by-step explanation:

write an expression that matches the statement: 5 less than x​

Answers

Answer:

x greater than 5

Step-by-step explanation:

factors switched and changed the term "less than" to the opposite term "greater than"

Which is more, 77 fluid ounces or 10 cups?

Answers

Answer:

10 cups

Step-by-step explanation:

Well, 1 cup=8 oz

So multiply 10 cups by 8 oz= 80oz

77 oz< 10 cups (88oz)

When you are born, your parents deposited $500 into a simple interest account that
earns 2.5% annually. How much money would be in the account, for you, when you
turn 30 years old?

Answers

9514 1404 393

Answer:

  $875

Step-by-step explanation:

The account pays simple interest, so the formula for the balance is ...

  A = P(1 +rt)

  A = $500(1 +0.025×30) = $500(1.75) = $875

There will be $875 in the account at age 30.

Rational Number Arithmetic Kiran says that -2 <5. Do you agree with kiran? Explain or show your reasoning

Answers

Answer:

I agree with Kiran

Step-by-step explanation:

Given the inequality -2<5, I agree with Koran because all negative values are less than all positive values and reverse is never the case. Since. -2 is a negative value and 5 is positive value, hence -2 is less than 5 thereby making the inequality expression -2<5 to be correct.

Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed?

Answers

Answer:

68 miles per hour. This is the right answer.

Step-by-step explanation:


Show workings please

Answers

Answer: x = 21°

Step-by-step explanation:

37 + 4x + (3x - 4) = 180°   Original Equation

37 + 4x + 3x - 4 = 180°   Commutative Property of Addition

7x + 33 = 180°   Combine like terms

7x = 148°  Subtract 33 from both sides

x = 21°   Divide both sides by 7

A store buys a jacket for 20.00 and then sells it ot a costomer for 80%

Answers

Answer:

$16.00

Step-by-step explanation:

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