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Chapter 3: Q 3.54. (page 283)

Find the equation of a horizontal line containing the point(-1,4).

Short Answer

Expert verified

The equation isy=4.

Step by step solution

01

Step 1. Use the point-slope form

The point-slope form of an equation of a line with slopem and containing the point(x1,y1)isy-y1=m(x-x1).

02

Step 2. Identify the slope and the point

Every horizontal line has slope 0.

So the slope is:

m=0

The point is:

(x1,y1)=(-1,4)

03

Step 3. Substitute the values into the point-slope form

y-y1=m(x-x1)y-4=0(x-(-1)y-4=0y=4

The equation of line isy=4.

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