Q. 4.20

In Exercises 4.20, 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.

$- 1.5$ and $0$

Verified

Answer

a. Slope of above linear equation is horizontal.

b. Equation of above linear equation is $y = - 1.5$

c. The graph is given below.

1Part(a) Step 1: Given information

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

2Part(a) Step 2: Explanation

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

3Part(b) Step 1: Given information

We need to find equation for above linear equation.

4Part(b) Step 2: Explanation

Slope of above linear equation $m$ is $0$ .

$y$ -intercept of above linear equation $c$ is $- 1.5$

The general form of linear equation is $y = m x + c$

putting value of $m$ and $c$ in general equation we get,

$y = - 1.5$

5Part(c) Step 1: Given information

We need to plot the graph of above equation.

6Part(c) Step 2: Explanation

The graph for above equation is