Question

In the following exercises, graph by plotting points

$y=4x-3$

Short answer

The graph of the equation is:

Step-by-step solution

Step 1. Given Information

Equation to be plotted is

$y=4x-3$...equation(1)

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

When $x=0$

$$\begin{gathered} y=4\times 0-3 \\ y=0-3 \\ y=-3 \end{gathered}$$

When $x=1$

$$\begin{gathered} y=4\times 1-3 \\ y=4-3 \\ y=1 \end{gathered}$$

When $x=2$

$$\begin{gathered} y=4\times 2-3 \\ y=8-3 \\ y=5 \end{gathered}$$

Now put three solutions in the table

x	y	(x,y)
0	-3	(0,-3)
1	1	(1,1)
2	5	(2,5)

Step 3. Plot these points in a rectangular coordinate system 

Plot the points (0,-3), (1,1) and (2,5) in a rectangular coordinate system.

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

The line is the graph of