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Chapter 3: Q 180. (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,-3.

Short Answer

Expert verified

Slope-intercept form of the line isy=-3.

Step by step solution

01

Step 1. Given information.

A horizontal line is given passing through-2,-3.

02

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

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

Here, x1,y1=-2,-3.

Slope of a horizontal line is 0.

It follows that m=0.

Substitute the values and simplify.

y-y1=mx-x1y--3=0x--2y+3=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=-3.

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Most popular questions from this chapter

In the following exercise, determine the most convenient method to graph each line

x-y=1

Determine an equation of the line that contains the points (7,2) and (7,-2). Write the equation in slope-intercept form.

In the following exercise, determine the most convenient method to graph each line

2x-5y=-10

Find an Equation of the Line Given Two Points (7,1)and (5,0). Write the equation in slope鈥搃ntercept form.

Graph the equations

(a) x=5

(b)y=-4
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