Question

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)

Answer 1

Perpendicular,
`m=(9)/(11)`

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:
`m=(y_2-y_1)/(x_2-x_1)`

We substitute
`x_1=-2\\y_1=3` and
`x_2=9\\y_2=-6`

`m=(-6-3)/(9-(-2))`

`m=(-6+-3)/(9+2)=(-9)/(11)`

Parallel lines have the same slope so the equation will have the slope
`m=(9)/(11)`. Need more information to write the equation of the line like a point it crosses.