Answer:
8 and - 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (2.5, 14) ← 2 points on line A
[tex]m_{A}[/tex] = [tex]\frac{14+6}{2.5-0}[/tex] = [tex]\frac{20}{2.5}[/tex] = 8
Repeat with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (2, 0) ← 2 points on line B
[tex]m_{B}[/tex] = [tex]\frac{0-8}{2-0}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
