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Select the correct answer.
Which equation represents a line that is perpendicular to line PQ?

A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through two closed points P (negative 8, 7), and Q (negative 4, negative 5).

A. y=3x-2

B. y=1/3x+4

C. y=1/3x-5

D. y=-3x+6

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A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.

Which equation represents a line that is perpendicular to line PQ?

Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.

We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:

[tex]s = \frac{-5 - 7}{-4 - (-8)} = -3[/tex]

A perpendicular line to PQ must have a slope equal to:

[tex]s' = -(\frac{1}{-3} ) = (\frac{1}{3})[/tex]

So we have two correct options (two lines with that slope) which are options B and C.

If you want to learn more about perpendicular lines:

https://brainly.com/question/7098341

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