peyskwiat
peyskwiat peyskwiat
  • 24-02-2020
  • Mathematics
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8. Find the slope of a line that is perpendicular to the line containing the points (-2, -1) and (2, -3).

Respuesta :

jimrgrant1 jimrgrant1
  • 24-02-2020

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (2, - 3)

m = [tex]\frac{-3+1}{2+2}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

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