Answer:
x = 3
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 7, - 5) and (x₂, y₂ ) = B(- 3, x), then
m = [tex]\frac{x+5}{-3+7}[/tex] ← equate to 2, that is
[tex]\frac{x+5}{4}[/tex] = 2 ( multiply both sides by 4
x + 5 = 8 ( subtract 5 from both sides )
x = 3
