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musickatia [10]
4 years ago
13

Write the equation of the line through the given point. Use​ slope-intercept form. (−9,7)​ perpendicular to y=-5/6x+6

Mathematics
1 answer:
frosja888 [35]4 years ago
4 0

GIVEN: y = -5/6x + 6

slope of given line = -5/6

--> Because the line you are trying to find is perpendicular to the given line, you must find the opposite reciprocal of the slope

opposite reciprocal of the slope = 6/5

You need to find what "b" is for your equation

  • y = mx + b
  • y = 6/5x + b
  • 7 = (6/5)(-9) + b
  • 7 = -54/5 + b
  • 89/5 = b
  • 17.8 = b

Plug "b" back into the slope-intercept form along with your equation's slope

y = mx + b

<h3>ANSWER: y = 6/5x + 17.8 </h3>

(if your teacher doesn't want any decimals, then write: y = 6/5x + 89/5)

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