Answer:
k = - 18
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 12) and (x₂, y₂ ) = (6, k)
m = [tex]\frac{k+12}{6-3}[/tex] = [tex]\frac{k+12}{3}[/tex] = - 2 ( multiply both sides by 3 )
k + 12 = - 6 ( subtract 12 from both sides )
k = - 18
