1 year ago

Find the equation of the line that is perpendicular to y=-2x-9 and contains the points (8,-4)

1 answer:

6 0

The slope of the given line is -2, and since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/2.

Substituting into point-slope form,

$y+4=\frac{1}{2}(x-8)\\\\y+4=\frac{1}{2}x-4\\\\\boxed{y=\frac{1}{2}x-8}$

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