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Chapter 3: Q 194. (page 293)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form.

(-6,-3)and(-1,-3)

Short Answer

Expert verified

The equation obtained is:y=-3

Step by step solution

01

Step 1. Given Data

Points:(-6,-3)and(-1,-3)

02

Step 2. Finding the slope using given points

The slope of the line through (-6,-3)and(-6,-1):

m=y2-y1x2-x1(1)where,y2=-3y1=-3x2=-1x1=-6Puttingvaluesin(1),wegetm=-3-(-3)-1-(-6)=-3+3-1+6=0m=0

03

Step 3. Point slope form. 

Choose one point

let's take point(-1,-3)

Now,

Substitute the values in the point-slope form which is:

y-y1=m(x-x1)y-(-3)=0(x-(-1))y+3=0

04

Step 4. Converting equation in slope-intercept form.

y+3=0y=-3ory=0x-3

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