Answer:
k = [tex]\frac{11}{4}[/tex]
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 ) = (3k, 6) and (x₂, y₂ ) = (k, - 5)
m = [tex]\frac{-5-6}{k-3k}[/tex] = [tex]\frac{-11}{-2k}[/tex] = [tex]\frac{11}{2k}[/tex] = 2 ( multiply both sides by 2k )
4k = 11 ( divide both sides by 4 )
k = [tex]\frac{11}{4}[/tex]
