Question

Find the missing value so that the two points have a slope of - (-2,y) and (0, -4)

Answer 1

Answer:

y = -2

Step-by-step explanation:

Use the formula for slope: $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

"m" means slope, and we know it is -1.

Decide which points will be point 1 and point 2

Point 1 (-2, y)    x₁ = -2  y₁ = y

Point 2 (0, -4)   x₂ = 0  y₂ - -4

Substitute the "x" and "y" values into the formula

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{-4-y}{0-(-2)}$                Simplify

$-1 = \frac{-4-y}{2}$                    Remember m = -1. Get rid of the fraction

$2*-1 = 2*\frac{-4-y}{2}$           Multiply both sides by 2

$-2 = \frac{2(-4-y)}{2}$                   The "2"s cancel out on the right

$-2 = -4-y$                      Start isolating "y"

$-2 +4= -4-y + 4$           Add 4 to both sides

$2= -y$

$2/-1= -y/-1$              Divide both sides by -1 to isolate "y"

-2 = y            Answer

y = -2            Variable on left side