Question

Will Medal and fan if answered correctly.

Answer 1

Line p and line q are parallel. Line r is perpendicular to line q. The following expressions represent the slopes of each of the lines.

Answer 2

Determine the exact slope of each of the lines.

The actual slope of line p is .

The actual slope of line q is .

The actual slope of line r is

Answer 3

If line r is perpendicular to line q, then the product of their slopes should equal -1, that is \(m_r \cdot m_q =-1\)

Answer 4

If p and q are parallel, their slopes should be equal, so \(m_p=m_q\)

Answer 5

ok but how do I find them?

Answer 6

is Mq= -4?

Answer 7

You should replace the expressions for \(m\) into the above equations I wrote.
For example, \(m_r\cdot m_q=-1\), then you should get
\[\frac{2x-6}{x+2}\cdot \frac{8x-2}{2x+6}=-1 \] and then solve for \(x\).

Answer 8

Yous should do the same with the parallel lines. Since their slopes are equal, \(m_p=m_q\), then
\[\frac{2x+1}{x+3} =\frac{8x-2}{2x+6}\] and solve for x