Question

what is the value of y for the line that has a slope of 1 and goes through the points (-4,y) and(-2,8)​

Answer 1

Answer:

y = 6

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the slope m = 1 and the points (-4, y) and (-2, 8). Substitute:

$1=\dfrac{8-y}{-2-(-4)}$

$1=\dfrac{8-y}{2}$         multiply both sides by 2

$2=8-y$         subtract 8 from both sides

$-6=-y$          change the signs

$6=y\to y=6$