daydreamerz
daydreamerz daydreamerz
  • 05-03-2019
  • Mathematics
contestada

Write the point slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8

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MrsStrong
MrsStrong MrsStrong
  • 06-03-2019

Answer:

[tex]y - 2 = \frac{1}{8}(x +8)[/tex]

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. Since the slope of one line is -8, its perpendicular line will have the slope of 1/8.

Substitute m = 1/8 and (-8,2) into the point slope form of a line.

[tex]y - y_1 = m(x-x_1)\\y - 2 = \frac{1}{8}(x --8)\\y - 2 = \frac{1}{8}(x +8)[/tex]

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