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Chapter 3: Q 181. (page 292)

Find the equation of a line with given slope and containing the given point and write the equation in slope-intercept form.

Horizontal line containing-1,-7.

Short Answer

Expert verified

Slope-intercept form of the line isy=-7.

Step by step solution

01

Step 1. Given information.

A horizontal line containing a point-1,-7is given.

02

Step 2. Substitute the values into point-slope form.

Point-slope form is y-y1=mx-x1.

Here, x1,y1=-1,-7.

Slope of a horizontal line is 0.

It follows that m=0.

Substitute the values and simplify.

y-y1=mx-x1y--7=0x--1y+7=0

03

Step 3. Write the equation in slope-intercept form.

Slope-intercept form is y=mx+b.

Therefore, equation of the line in slope-intercept form isy=-7.

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