Answer:
line not parallel to PQ
Step-by-step explanation:
Parallel lines have equal slopes
Calculate slopes m of both lines using slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (P (1, - 6) and (x₂, y₂ ) = Q (6, 14 )
[tex]m_{PQ}[/tex] = [tex]\frac{14-(-6)}{6-1}[/tex] = [tex]\frac{14+6}{5}[/tex] = [tex]\frac{20}{5}[/tex] = 4
Repeat with (x₁, y₁ ) = (- 4, - 8 ) and (x₂, y₂ ) = (- 1, 7 )
m = [tex]\frac{7-(-8)}{-1-(-4)}[/tex] = [tex]\frac{7+8}{-1+4}[/tex] = [tex]\frac{15}{3}[/tex] = 5
Since slopes are not equal then lines are not parallel
