5.) If A//B and B//C and C is perpendicular to D, what is the relationship between A and D?

[] Parallel
[] Perpendicular
[] Neither
[] It can not be determined
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6.) Write the equation of a line that is parallel to the line that passes through (-2,3) and (9,-6). Be sure to show your work. (2 points)

Respuesta :

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.