Chapter 4: 475 (page 540)

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

Short Answer

Expert verified

The equation of the perpendicular line is $y = - \frac{3}{4} x - \frac{1}{4}$ .

Step by step solution

Step 1. Given information

The given equation is $4 x - 3 y = 5$

Step 2. Find the slope of the perpendicular line

First we find the slope of the line

$4 x - 3 y = 5$

$3 y = 4 x - 5$

$y = \frac{4}{3} x - \frac{5}{3}$

The above equation is in the form of $y = m x + c$

Then the slope of the line is $\frac{4}{3}$

Hence the slope of the perpendicular line is $- \frac{3}{4}$

Step 3. Find y- intercept

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

We get,

$y = - \frac{3}{4} x + c$

$2 = - \frac{3}{4} (- 3) + c$

$c = - \frac{1}{4}$

The equation of the perpendicular line is $y = - \frac{3}{4} x - \frac{1}{4}$

Step 4. Conclusion

The equation of the perpendicular line is $y = - \frac{3}{4} x - \frac{1}{4}$ .

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the slope of the perpendicular line

Step 3. Find y- intercept

Step 4. Conclusion

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the slope of the perpendicular line

Step 3. Find y- intercept

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Geometry

Statistics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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