Respuesta :

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

ANSWER: y = 6/5x + 17.8

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

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