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Chapter 4: Q. 4.21 (page 161)

In Exercises 4.21, we identify the y-intercepts and slopes, respectively, of lines. For each line.

a. determine whether it slopes upward, slopes downward, or is horizontal, without graphing the equation.

b. find its equation.

c. use two points to graph the equation.

3and 0

Short Answer

Expert verified

a. Slope of above linear equation is horizontal.

b. Equation of above linear equation isy=3

c. The graph is given below.

Step by step solution

01

Part(a) Step 1: Given information

We need to find the direction of slope of above linear equation.

02

Part(a) Step 2: Explanation 

As we see the value of slope is zero so it will point in horizontal direction.

03

Part(b) Step 1: Given information 

We need to find equation for above linear equation.

04

Part(b) Step 2: Explanation 

Slope of above linear equation mis 0.

y-intercept of above linear equation cis 3

The general form of linear equation isy=mx+c

putting value of mand cin general equation we get,

y=3

05

Part(c) Step 1: Given information 

We need to plot the graph of above equation.

06

Part(c) Step 2: Explanation 

The graph for above equation is

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