Question

Two points on a line are (2,2) and (-2,y). If the slope of the line is 3/4 then find the value of y.

Answer 1

y = -1

Explanation:

Given two points (2,2) and (-2,y).

We can find the slope

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

3/4 = (2-y)/(2 - -2)

3/4 = (2-y)/ (2+2)

3/4 = (2-y)/4

Multiply each side by 4

3 = 2-y

Subtract 2 from each side

3-2 = 2-y-2

1 = -y

Multiply each side by -1

-1 =y