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What is the slope of any line perpendicular to the line passing through #(-3,4)# and #(-2,3)#?

Answer 1

Ethan Adkins

#1#

To find the slope of the line passing through #(-3, 4)# and #(-2,3)#, we can use the formula

#m = (y_2 - y_1)/(x_2 - x_1)#

which gives us

#m = (4 - 3)/(-2 - (-3)) = (-1)/1 = -1#

To find the slope of the line perpendicular to this line we simply take the negative reciprocal of this slope:

#- 1/(-1) = 1#

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Answer 2

Genesis Allen

The slope of any line perpendicular to a given line is the negative reciprocal of the slope of the given line. So, first find the slope of the given line passing through (-3,4) and (-2,3), then take the negative reciprocal of that slope.

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Answer from HIX Tutor

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