Answer:
Perpendicular, [tex]m=\frac{9}{11}[/tex]
Step-by-step explanation:
5. If A & B are parallel and B & C are parallel, then A & C must also be parallel. Therefore, if C is perpendicular to C, it must intersect A & B also at perpendicular angles since parallel lines preserve angle relationships.
6. We must find the slope using the slope formula.
Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We substitute [tex]x_1=-2\\y_1=3[/tex] and [tex]x_2=9\\y_2=-6[/tex]
[tex]m=\frac{-6-3}{9-(-2)}[/tex]
[tex]m=\frac{-6+-3}{9+2}=\frac{-9}{11}[/tex]
Parallel lines have the same slope so the equation will have the slope [tex]m=\frac{9}{11}[/tex]. Need more information to write the equation of the line like a point it crosses.