Question

Use an equation to find the value of k so that the line passing through (−2,k) and (2,0) has a slope of −1.

Answer 1

Answer:

k = 4

Step-by-step explanation:

Calculate the slope m using the slope formula, then equate to - 1

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

with (x₁, y₁ ) = (- 2, k ) and (x₂, y₂ ) = (2, 0 )

m = $\frac{0-k}{2-(-2)}$ = $\frac{-k}{2+2}$ = $\frac{-k}{4}$ , then

$\frac{-k}{4}$ = - 1 ( multiply both sides by 4 )

- k = - 4 ( multiply both sides by - 1 )

k = 4