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RoseWind [281]
1 year ago
11

Write an equation of a line that is perpendicular to the line y-8=4(x-5)​

Mathematics
1 answer:
vesna_86 [32]1 year ago
8 0

Equation of the new perpendicular line is  y - y_{1} = -\frac{1}{4} (x- x_1)

How to calculate the new perpendicular line?

The given equation is:

y- 8=4 (x-5)​

This equation is of the point- slope form

y- y_{1}= m(x-x_{1})

y - 8 = 4( x-5 )​

So, the slope (m) is m = 4

The points (x_1,y_1) = (5,8)

Hence, slope of the line perpendicular to the given line is

m = -\frac{1}{4}

The equation of the new perpendicular line is :

y- y_{1}= m(x-x_{1})\\\\y - y_{1} = -\frac{1}{4} (x- x_1)

Since the points through which the line passes  is not given.

To learn more about point - slope form, refer:

brainly.com/question/6497976

#SPJ9

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Step-by-step explanation:

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Step-by-step explanation:

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