Respuesta :

Hi there! I am here to help you!

  • Please remember that perpendicular lines have slopes that are opposite reciprocals.
  • This means we take a number, flop it over, and change its sign.
  • Here, we have
  • [tex]\displaystyle-\frac{1}{5}[/tex]
  • First, flop it over:
  • [tex]\rm{-5[/tex]
  • Change its sign:
  • 5
  • Thus, the slope of the line perpendicular to the given line is 5.
  • Now, what is the equation of the line?
  • We have the slope of the line and a point that it intersects.
  • So, we can write the equation in Point-Slope Form:
  • y-y1=m(x-x1)
  • y-1=5(x-(-5)
  • y-1=5(x+5)
  • y-1=5x+25
  • y=5x+25+1
  • y=5x+26

Answer:

y=5x+26

Hope you find it helpful.

~Nature~

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Answer:

The answer is y=5x+26

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