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  • 10-10-2020
  • Mathematics
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What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)

Respuesta :

jimrgrant1 jimrgrant1
  • 10-10-2020

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m of AB using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)

m = [tex]\frac{2-2}{-3-6}[/tex] = [tex]\frac{0}{-9}[/tex] = 0

A line with a slope of zero is a horizontal line, parallel to the x- axis.

Thus a line perpendicular to AB is a vertical line parallel to the y- axis.

The slope of a vertical line is undefined

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