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Chapter 3: Q 179. (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-2,5.

Short Answer

Expert verified

Equation of the line in slope-intercept form isy=5.

Step by step solution

01

Step 1. Given information.

A horizontal line is given that passes through-2,5.

02

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

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

Here, x1,y1=-2,5.

Slope of any horizontal line is 0.

It follows that m=0.

Now, substitute the values and simplify.

y-y1=mx-x1y-5=0x--2y-5=0

03

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

Slope-intercept form is y=mx+b.

Therefore, equation in the slope-intercept form is y=5.

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