. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)

Answers

Answer 1

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9


Related Questions

what is -18 1/2 plus 27 3/5?

Answers

Step-by-step explanation:

so if I did it wrong

Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.

Answers

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

3x+2x=20. What is the answer dor this equation. ​

Answers

5x=20

Divide 5 by each side

x=4

(c) Ada is x years old and Bill is y years old.
Last
year,
Bill was 6 times as old as Ada.
(1) Form an equation in x and y and show that it simplifies to y = 6x - 5.

Answers

Using a system of equations, it is found that the simplified equation is y = 6x - 5.

Ada is x years old.Bill is y years old.

Last year, Ada was x - 1 years old and Bill was y - 1 years old.

Bill was 6 times as old as Ada, hence:

[tex]y - 1 = 6(x - 1)[/tex]

[tex]y - 1 = 6x - 6[/tex]

[tex]y = 6x - 6 + 1[/tex]

[tex]y = 6x - 5[/tex]

The simplified equation is y = 6x - 5.

For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803

What single decimal multiplier would you use to decrease by 19% followed by
a 10%
Increase

Answers

Answer:

1.26 is the single decimal multiplier

Step-by-step explanation:

Answer:

Answer: 1.26 is the single decimal multiplier.

Step-by-step explanation:

A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?

Answers

The new container holds 60 fluid ounces of soap

1 + 1 PLEASE HELP AN EXPERT CANT EVEN ANSWER THIS

Answers

ITS 15 100% CORRECT

Answer:

1+1=2!!!!!!!!

YAY HAHAHAHAHAHA

*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.

Answers

Answer:

y = - 1/3x - 5

Step-by-step explanation:

Use two given points (-6, -3) and (6, -7) to find equation of the line.

The slope:

m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3

The y - intercept is also visible on the graph (0, -5):

b = -5

The line is:

y = - 1/3x - 5

Answer:

[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the graph to find the equation of the line we must first find the slope

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Using the points (-6 , -3) and (6,-7) we have

[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]

Next we use the slope that has been found and one of the points to find the equation of the line

To find an equation of a line when given the slope and a point we use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) is the point

From the question using slope -1/3 and point (-6,3) we have

[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]

The equation of the line in slope-intercept form is

[tex]y = - \frac{1}{3} x + 1 \\ [/tex]

Hope this helps you

I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?

Answers

Answer:

0.4

Step-by-step explanation:

it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4

WILL GIVE BRAILIEST, HELP! :(
Land in Wisconsin is for sale to property investors. A 232 acre lot is listed for sale for 200,500, assuming the same price what size lot could you purchase at 100,000?

-120 acres
-182.9 acres
-115.72 acres
-120.71 acres

Answers

Answer:

115.72 acres

Step-by-step explanation:

232/200,500 = 0.001157

100,000*0.001157 = 115.7 acres

-8 less than a number is no more than 12

Answers

Answer:

-8 < x ≤ 12

Step-by-step

-8 less than a number would give you

-8 <

a number no more than 12 would give you

x ≤ 12

giving x because we dont know what the number is-

so your full anser would be-

-8 < x ≤ 12

464.93 to the nearest millions​

Answers

Answer:

It can not be rounded to the nearest millionths bc there is not millionths place in the decimal

Step-by-step explanation:

50 points and brainliest for first correct answer

Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?

Answers

Answer:

A(-3,2)B(3,7) and C(4,-4)

Step-by-step explanation:

these are the new coordinate

The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?​

Answers

Answer:

6.5

Step-by-step explanation:

6 to 9 so 39 divided by 6 and you get 6.5

Answer:

6:9 in-simplified is 23:39

Step-by-step explanation:

So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.

Factor the expression
n^2-15n+56​

Answers

Answer:

(n-8)(n-7) this is the answer I hope it helped you

Answer:

(x - 7)(x - 8)

Step-by-step explanation:

Factor this into the form:

(x +/- a)(x +/- b)

As the third term is a positive and the second is negative, we know that the two operators are subtract:

(x - a)(x - b)

Find the factors of 56:

1 56

2 28

4 14

7 8

The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:

(x - 7)(x - 8)

Hope this helps!

I would appreciate if you answered!

Answers

Answer:

None of those options

Step-by-step explanation:

I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options.  Here's my work:

[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]

I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)

20. The table shows the numberof days you keep a rented movie before returning it and the total cost of renting the
movie. Find the rate of change in cost with repect to time and interpret its meaning.
Time (days)
4
5
6
Cost (dollars)
6.00
8.25
10.50

Answers

Step-by-step explanation:

According to given table we have pairs of points:

(4, 6.00), (5, 8.25), (6, 10.50)

The rate of change is:

(8.25 - 6.00)/(5 - 4) = 2.25

or

(10.50 - 8.25)/(6 - 5) = 2.25

It is 2.25 and the meaning is:

Rental per day is $2.25

Doctors are interested in determining if the human body temperature is really 98.6 degrees. he selects 30 students and records their temperature using a digital thermometer. what type of test would they conduct to test this claim?

Answers

Answer:

I think its one mean, if it's not I'm very sorry

In order to corroborate his assertion that the average body temperature is lower than 98.6 degrees Fahrenheit, the croaker created a test statistic.

What's Test Statistic?

A test statistic is a figure attained from a statistical analysis. It explains how far your observed data is from the null thesis, which states that there's no correlation between the variables or distinction between the sample groups.

Test statistics are statistics that are produced from samples to determine whether or not to accept the null thesis.

A sample is data that represents a portion of the population. In other words, it's a gauged - down interpretation of a larger group.

The croaker conducted a thesis test in order to corroborate the information that has been handed in the question. And he calculated the test statistic, or arbitrary data from the sample taken from the population data, for the thesis test.

Learn more about test statistic here:

brainly.com/question/16695849

#SPJ6

Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?

Answers

25 minutes. 25 is less then 40 but more then 10 it is also a multiple of 5. And lastly the digits 2 + 5= 7

The time taken by auntie Annie to rake is 25 minutes.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.

Let the time taken by auntie Anne to rake be ab minutes.

Now, according to the given question.

Auntie Anne situation is represented by an inequality

10 < ab <40

Since, it is given that sum of the digits of time taken by Anne to rake is 7.

⇒ a + b = 7

Also, ab is a multiple of 5.

Now,

When, a = 4 and b = 3 (or vice-versa)

4 + 3 = 7 but 43 is not a multiple of five.

When, a = 6 and b = 1 ( or vice versa)

6 + 1 = 7, but 61 is not a multiple of five.

When, a = 2 and b = 5 (or vice versa)

2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.

Also, 25 is less than 40 and greater than 10.

Therefore, the time taken by auntie Annie to rake is 25 minutes.

Find out more information about inequality here:

https://brainly.com/question/20383699

#SPJ2

2/7 x (-7/9) xdx lel'jobrfjb13rgifj2noinf ehelp

Answers

When multiplying by fractions you multiply the numerator by the numerator and the denominator by the denominator. 2x-7=-14. 7x9=63 so the answer is -14/63. Hope that helped :D

Rewrite the following equation in slope-intercept form.

y − 3 = 12( x + 4)

Answers

Answer:

y=12x+51

Step-by-step explanation:

Find the cost per roll if a bag of five lunch rolls is $2.50.

Answers

My friends the answer is:If 1 lunch =$2.50 2 lunches = $5.00 (2.50x2) 3 lunches =$7.50 4 lunches =$10.00 5 lunches= $12.50 Just add $2.50

Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:

Answers

A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

Read more: https://brainly.com/question/22851088

HELP!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer: A

Step-by-step explanation:

The easiest way to solve this would be to convert everything into a fraction.

9.5, 9 3/8, 9.125, 9 3/4

=

9 4/8, 9 3/8, 9 1/8, 9 6/8

So from greatest to least,

9 3/4, 9.5, 9 3/8, 9.125

So, A

Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )

Step-by-step explanation:

From greatest to least.

1) 9 3/4 = 9.75

2) 9.5 = 9.50 ( 9 1/2)

3) 9 3/8 = 9.37

4) 9.125 = 9.12 ( 9 1/8)

(5x-3=3x+29 )what is the value of X?

Answers

Answer: x=16

Step-by-step explanation:

Move the variable to the left-hand side and change its sign

5 x - 3- 3 x =29

Move the constant to the right-hand side and change its sign

5 x - 3 x = 29 + 3

Collect like terms

2 x = 29+ 3

Add the numbers

2x= 32

Divide both sides by 2

and you get x=16

Step-by-step explanation:

5x - 3 = 3x + 29

5x - 3x = 29 + 3

2x = 32

x = 32/2 = 16

x = 16 ans

therefore, value of x is 16.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Help very quick ! thank youuuuuuuuuuuuuu

Answers

2 hours 45 minutes

hope this helps

She spent 2 hours and 45 minutes.

Which statement is true?


−2.4<−2.40

−2.4>−2.40

−2.4≠−2.40

−2.4≤−2.40

Answers

Answer: −2.4≤−2.40

Step-by-step explanation:

Tough one.  I judge −2.4 ≤−2.40 to be the correct answer.  The difference in significant digits only tells us we don't know for certain that they are equal.  But 2.4 MAY be equal, or less than 2.40.  None of the others options allows for the fact that they may be equal.

if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total

Answers

Answer:

gas barrels = 20,400,000

diesel barrels = 17,400,000

other barrels =  22,200,000

Step-by-step explanation:

Total barrels = 60,000,000

gas = 34%   of the barrels

diesel = 29% of the barrels

others = 37% of the barrels     100% - 34% - 29% = 37%

How many of each type of barrels?

60,000,000 ×  34% = gas barrels ;   60,000,000 × .34 = 20,400,000

60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000

60,000,000 × 37% = other barrels;   60,000,000 × .37 = 22,200,000

 Check: Total  barrels  60,000,000                                 = 60,000,000                                    

A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?

Answers

Answer:

3 is 37.5% of 8 so the answer is about 37%

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Three male and five female.

So, we need to find out the mall.

We can divide this out of 8.

3/8 and 5/8.

Male - 37.5%

Female - 62.5%

Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?

Answers

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

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