Question

Determine the slope of the line that is perpendicular to the line passing through the points (-6, 4) and (10,-2).

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Answer 1

The slope of the line that is perpendicular is 3/8

Explanation:

The slope of the line through

(-6,4) (10,-2)

m = ( y2-y1)/(x2-x1)

= ( 10 - -6)/( -2 -4)

= (10+6)/(-2-4)

= 16/-6

=-8/3

A line perpendicular has a slope that is the negative reciprocal

- 1/( -8/3)

+ 3/8

The slope of the line that is perpendicular is 3/8