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Chapter 4: Q. 493 (page 540)

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

Containing the points -2,0and-3,-2

Short Answer

Expert verified

The equation of the line is y=2x+4.

Step by step solution

01

Step 1. Given Information  

We are given the points -2,0 and-3,-2 and 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=-2,0,x2,y2=-3,-2.

Required slope

=-2-0-3+2=-2-1=2

03

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

Using the point -2,0and slope 2we find the slope-intercept form of the line:

y-y1=mx-x1鈬�y-0=2x+2鈬�y=2x+4

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(a) (4,3)(b)(-1,-1)(c)12,5

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