milanzmailbox milanzmailbox
  • 12-06-2020
  • Mathematics
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A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.

Respuesta :

mhanifa
mhanifa mhanifa
  • 16-09-2020

Answer:

- 8/5

Step-by-step explanation:

A line has x-intercept -8 and y-intercept 5.

It means the line has passes through:

  • (-8, 0) and (0, 5)

Slope as per slope formula:

  • m = (y2-y1)/(x2-x1)
  • m = (5 - 0)/(0 + 8) = 5/8

Perpendicular lines have slopes negative reciprocal to each other

So the slope of the perpendicular line is:

  • m = -1/(5/8) = - 8/5
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