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Write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation.
y+ 4 = 2/3(x - 2);(4,-2)
PLEASE HELP QUICK !!!

Respuesta :

mhanifa

Answer:

  • y + 2 = - 3/2(x - 4)

Step-by-step explanation:

Given line:

  • y + 4 = 2/3(x - 2)

It has a slope of 2/3.

Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:

  • m = - 3/2

Find its equation provided it passes through the point (4, - 2):

  • y - (-2) = - 3/2(x - 4)
  • y + 2 = - 3/2(x - 4)