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Chapter 4: Q. 499 (page 541)

In the following exercises, find the equation of each line. Write the equation in slope鈥搃ntercept form.

Perpendicular to the line 4x+3y=1, containing point 0,0.

Short Answer

Expert verified

The equation of the line is y=34x.

Step by step solution

01

Step 1. Given Information  

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

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

02

Step 2. Finding the slope

Writing the given equation in slope intercept form, we get

4x+3y=13y=-4x+1y=-43x+13

The slope is m=-43,

The slope of the perpendicular lines is negative reciprocals, so

m'=-1-43m'=34

03

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

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

y-y1=mx-x1y-0=34(x-0)y=34x

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