Answer:
x = - 8
Step-by-step explanation:
Calculate m using the slope formula and equate, since parallel lines have equal slopes.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)
m = [tex]\frac{-13-5}{x+4}[/tex] = [tex]\frac{-18}{x+4}[/tex] and equating
[tex]\frac{-18}{x+4}[/tex] = [tex]\frac{9}{2}[/tex] ( cross- multiply )
9(x + 4) = - 36 ( divide both sides by 9 )
x + 4 = - 4 ( subtract 4 from both sides )
x = - 8
