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# A line passes through (2,-1) and (5,y). Find the value of y if the slope of the line is 3.

I don't get it

### 2 Answers by Expert Tutors

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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Use the slope definition as the ratio of the change of y to the change of x,

(y+1)/(5-2) = 3

Multiply both sides by 3,

y+1 = 9

Diego P. | Economics Major, Math Minor, Finance Equivalent. Quantitative Topics.Economics Major, Math Minor, Finance Equ...
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I'll try breaking it down a different way.
If you find the formula for the line that these points are on, you can then plug any x-coordinate and receive it's y-coordinate.
Here, you're given two points that are on a single line.
The formula for a line is y = mx + b
m is the slope , b is the y-intercept
You're given the slope m already. It's 3. And you have points for y and x.
Now you need to slove for b.
Plug in your first full point (2,-1) => -1 = 2(3)+b
Solving for b = -1 - 2(3) = -7
Now we have our linear formula: y = 3x - 7
Now we can plug the x-coordinate of our next point (5,y) and we will get the y-coordinate
y = 3(5) - 7 = 15 - 7 = 8