Answer:
slope = - 1
Step-by-step explanation:
Parallel lines have equal slopes.
Thus the slope of TW equals the slope of UV
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = U(a + 2, b + 2) and (x₂, y₂ ) = V(a + 5, b - 1)
m = [tex]\frac{b-1-(b+2)}{a+5-(a+2)}[/tex] ← distribute and simplify numerator/ denominator
= [tex]\frac{b-1-b-2}{a+5-a-2}[/tex]
= [tex]\frac{-3}{3}[/tex] = - 1
