badboy426 badboy426
  • 21-11-2020
  • Mathematics
contestada

What is the slope of any line that is perpendicular to the line that contains the points (8, 8) and (12, 12)?

Respuesta :

prajwolbohara12
prajwolbohara12 prajwolbohara12
  • 21-11-2020

Answer:

slope(m)=-1

Step-by-step explanation:

let the point (8,8) and (12,12) be ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex])

slope of point([tex]m_{1}[/tex])=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

                             =(12-8)/(12-8)

                            =1

let the slope of perpendicular line to given point be [tex]m_{2}[/tex]

now ,

    [tex]m_{1} m_{2}[/tex]=-1

  so [tex]m_{2}[/tex]=-1

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