Chapter 4: Q. 499 (page 541)

In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Perpendicular to the line $4 x + 3 y = 1$ , containing point $(0, 0)$ .

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information

We are given a line with equation $4 x + 3 y = 1$ the point $(0, 0)$ .

We have to find the slope-intercept form of the line containing the points.

Step 2. Finding the slope

Writing the given equation in slope intercept form, we get

$4 x + 3 y = 1 3 y = - 4 x + 1 y = \frac{- 4}{3} x + \frac{1}{3}$

The slope is $m = \frac{- 4}{3}$ ,

The slope of the perpendicular lines is negative reciprocals, so

$m' = \frac{- 1}{\frac{- 4}{3}} m' = \frac{3}{4}$

Step 3. Finding the slope-intercept form of the line

The slope-intercept form of the line is given by,

$(y - y_{1}) = m (x - x_{1}) y - 0 = \frac{3}{4} (x - 0) y = \frac{3}{4} x$

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Perpendicular to the line $4 x + 3 y = 1$ , containing point $(0, 0)$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the slope-intercept form of the line

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In the following exercises, find the equation of each line. Write the equation in slope–intercept form.Perpendicular to the line 4x+3y=1, containing point 0,0.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Finding the slope-intercept form of the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the equation of each line. Write the equation in slope–intercept form.
Perpendicular to the line $4 x + 3 y = 1$ , containing point $(0, 0)$ .