I don't get it

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

# 2 Answers

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

Add -1 to both sides,

y = 8 <==Answer

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

y = 8 <= that's your answer