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Chapter 4: Q. 482 (page 540)

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

Containing the points 4,3 and8,1

Short Answer

Expert verified

The equation of the line isy=-12x+5.

Step by step solution

01

Step 1. Given Information

We are given the points 4,3and 8,1and we need to find the slope-intercept form of the line containing the points.

02

Step 2. Finding the slope

The slope of the line is given by m=y2-y1x2-x1.

Here x1,y1=4,3,x2,y2=8,1.

Required slope

=1-38-4=-24=-12

03

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

Using the point 4,3and slope -12we find the slope-intercept form of the line:

y-y1=mx-x1鈬�y-3=-12x-4鈬�y=-12x+2+3鈬�y=-12x+5

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