Answer:
What is the slope of line PQ?
✔ 0
What is the slope of line MN?
✔ undefined
How are the two lines related?
✔ The lines are perpendicular.
Step-by-step explanation:
They intersect but they are also straight lines.
The slope of PQ is 0 and the slope of MN is undefined. The lines are perpendicular.
Important information:
The slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line PQ passes through the points P(-8,2) and Q(4,2). So, the slope of the line PQ is:
[tex]m_{PQ}=\dfrac{2-2}{4-(-8)}[/tex]
[tex]m_{PQ}=\dfrac{0}{12}[/tex]
[tex]m_{PQ}=0[/tex]
The line MN passes through the points M(8,6) and N(8,-8). So, the slope of the line MN is:
[tex]m_{MN}=\dfrac{-8-6}{8-8}[/tex]
[tex]m_{MN}=\dfrac{-14}{0}[/tex]
[tex]m_{MN}=\infty[/tex]
The line PQ is a horizontal line and line MN is a vertical line. So, the lines are perpendicular to each other.
Therefore, the slope of PQ is 0 and the slope of MN is undefined. The lines are perpendicular.
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