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Chapter 4: Q. 399 (page 537)

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope鈥搃ntercept form.

slope 0and y-intercept (0,2).

Short Answer

Expert verified

The equation of the line is y=2.

Step by step solution

01

Step 1. Given information

The slope of the line is 0.

The Y-intercept of the line is (0,2).

We have to find the equation of the line with the given slope and given y-intercept.

02

Step 2. General equation of the slope-intercept form

The general form of representation of the equation of a line in Slope-intercept form is

y=mx+b.

Here mis the slope of the line and (0,b)is the Y-intercept of the line.

03

Step 3. Equation of the line

From the given data we have:

m=0,(0,b)=(0,2)鈬�b=2

Substitute the given slope and Y-intercept in the general form equation of a line.

y=mx+b鈬�y=0x+(2)鈬�y=2

Therefore the equation of the line is y=2.

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