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91Ó°ÊÓ

Find an equation of the line perpendicular to 3x-2y=7that contains the point (1, 5).

Short Answer

Expert verified

The equation of the line isy=-23x+173

Step by step solution

01

Given information

We are given an equation3x-2y=7

02

Find the slope of the perpendicular line

First we find the slope of given line

3x-2y=72y=3x-7y=32x-72

Hence the slope of line is 32

Hence the slope of perpendicular line is-23

03

Find y-intercept

The line passes through the point (1,5)

We get,

y=-23x+c5=-23+cc=173

Hence the equation of the perpendicular liney=-23x+173

04

Conclusion

The equation of the line isy=-23x+173

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