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  • 13-10-2019
  • Mathematics
contestada

find the equation of the line that contains the point p(4,0) and is perpendicular to the graph of 3x-2y+5


please need now! show work

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eyestrane eyestrane
  • 13-10-2019

Answer:

y = -2/3x + 8/3

Step-by-step explanation:

3x - 2y + 5? I am assuming you mean 3x - 2y = 5, so this answer is based on this equation.

3x - 2y = 5

-2y = -3x + 5

2y = 3x - 5

y = 3/2x - 5/2

3/2 = -2/3 (This is the perpendicular slope)

(4,0)

y - y1 = m(x - x1)

y - 0 = -2/3(x - 4)

y = -2/3x + 8/3

So the equation would be y = -2/3x + 8/3.

You can check the equations by graphing them:

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