Question

A line passes through the points (2,3) and (6,y) with a slope of 2. What is the value of y?

Answer 1

11 = y

Explanation:

Using the slope formula

m = (y2-y1)/(x2-x1)

2 = (y-3)/(6-2)

2 = (y-3)/4

Multiply each side by 4

2*4 = y-3

8 = y-3

Add 3 to each side

8+3 = y-3+3

11 = y

Answer 2

5

Explanation:

The slope of a line is always rise over run.

We need to make the rise over run equivalent to 2 to find the value of y.

Looking at the x-coordinates, 2 and 6, we can see there is an increase in 4.

Now we ask: What number, times 2, will equal 4?

That is 2.

So we have to make the increase in the y coordinates 2.

If we have the original point 3, an increase in 2 is 5.

So y is 5.

Hope this helped!