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Line m has a y-intercept of c and a slope of , where p > 0, q > 0, and p ≠ q.
What is the slope of a line that is perpendicular to line m?

Respuesta :

The slope of a line that is perpendicular to line m is -q/p

Complete question

Line m has a y-intercept of c and a slope of p/q, where p > 0, q > 0, and p ≠ q.

What is the slope of a line that is perpendicular to line m?

How to determine the slope of a line that is perpendicular to line m?

The slope of line m is given as:

m = p/q

Let the slope of the other line be n.

Since both lines are perpendicular, we have:

n = -1/m

Substitute m = p/q

n = -1/(p/q)

Evaluate

n = -q/p

Hence, the slope of a line that is perpendicular to line m is -q/p

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