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Chapter 3: Q 182. (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 containing4,-8.

Short Answer

Expert verified

Slope-intercept of the line isy=-8.

Step by step solution

01

Step 1. Given information.

A horizontal line containing4,-8.

02

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

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

Here, x1,y1=4,-8.

Slope of a horizontal line is 0.

It follows that m=0.

Substitute the values and simplify.

y-y1=mx-x1y--8=0x-4y+8=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=-8.

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Most popular questions from this chapter

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

Determine whether each equation is a function.

  1. x+y2=4
  2. y=x2-7
  3. y=5x-4

How do you find the value of a function?

Graph the equation x+y=-3using the intercepts.

Graph: f(x) = 鈭�3x 鈭� 1
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