Question

In the following exercises, graph by plotting points.

$y=-\frac{4}{5}x-1$

Short answer

The graph of the equation is

Step-by-step solution

Step 1. Given Information

Equation to be plotted is

$y=-\frac{4}{5}x-1$

Step 2. To find three points whose coordinates are solution to the equation   

When$x=0$

$$\begin{gathered} y=-\frac{4}{5}\times 0-1 \\ y=0-1 \\ y=-1 \end{gathered}$$

When$x=5$

$$\begin{gathered} y=-\frac{4}{5}\times 5-1 \\ y=-4-1 \\ y=-5 \end{gathered}$$

When$x=-5$

$$\begin{gathered} y=-\frac{4}{5}(-5)-1 \\ y=4-1 \\ y=3 \end{gathered}$$

Now arrange these points in a table

x	y	(x,y)
0	-1	(0,-1)
5	-5	(5,-5)
-5	3	(-5,3)

Step 3. Plot these points in a rectangular coordinate system    

points(0,-1), (5,-5) and (-5,3) are plotted as

Step 4. Draw the line through three points and extend the line.    

The line is the graph of the equation