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  • 13-03-2020
  • Mathematics
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Write an equation of the line that passes through (3, 8) and is perpendicular to the line y = 5x - 4

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Officialalehpeter
Officialalehpeter Officialalehpeter
  • 13-03-2020

Answer:

y = -1/5x + 48/5 or y = -1/5x + 8.6

Step-by-step explanation:

Using the equation of line

y - y_1 = m(x - x_1)

First find the slope

y = 5x - 4

Note, if two lines are perpendicular, their slope will be negative reciprocal

Slope = m = -1/5

Using the equation

y -y_1 = m(x - x_1)

With the point ( 3, 8)

x_1 = 3

y_1 = 8

y - 8 = -1/5 ( x - 3)

y - 8 = -1(x -3)/5

Open the bracket

y - 8 =( -x +3 )/ 5

y = (-x +3)/5 + 8

LCM Is 5..

y =( -x +3 + 40)/5

y = (-x + 43)/5

We can still separate

y = -x/5 + 43/5

y = -1/5x + 43/5

y = -1/5x + 8.6

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