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Chapter 4: 475 (page 540)

Find an Equation of a Line Perpendicular to a Given Line 4x-3y=5contain the point is(-3,2)

Short Answer

Expert verified

The equation of the perpendicular line is y=-34x-14.

Step by step solution

01

Step 1. Given information

The given equation is4x-3y=5

02

Step 2. Find the slope of the perpendicular  line

First we find the slope of the line

4x-3y=5

3y=4x-5

y=43x-53

The above equation is in the form of y=mx+c

Then the slope of the line is 43

Hence the slope of the perpendicular line is-34

03

Step 3. Find y- intercept

The line passes through the point is (-3,2)

We get,

y=-34x+c

2=-34(-3)+c

c=-14

The equation of the perpendicular line isy=-34x-14

04

Step 4. Conclusion

The equation of the perpendicular line isy=-34x-14.

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