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How do you find the slope of a line perpendicular to the line passing through the given two points (0, 0) and (2, -9)?

Answer 1

Eva Adamson

#color(violet)("Slope of perpendicular line "m_p = -1 / m = 9/2#

Slope of the given line #m = (y_2 - y_1) / (x_2 - x_1)#

#(x_1, y_1) = (0,0), (x_2, y_2) = (2, -9)#

#m = (-9-0) / (2-0) = -9/2#

Slope of perpendicular line #m_p = -1 / m = -1 / (-2/9) = 9/2#

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Answer 2

Hazel Anglin

First, find the slope of the line passing through the given two points using the formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Then, find the negative reciprocal of this slope to find the slope of the line perpendicular to it.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.