This is also a plug and solve method. The difference between this method and the table of values method is that you are only finding two points where each variable will be 0 at some point.

Tutorial 35: How to Graph Using Intercepts

Example:

$y=2x+1$

Determine the x and y intercepts for a linear equation. This can be done by setting the other variable to 0 and solving for the variable of interest (which will give the intercept). Solving for x and y gives two points of the line.

x-intercept

$$y=2x+1$$

$$(0)=2x+1$$

$$-1=2x$$

$$x=-{\displaystyle \frac{1}{2}}$$

$$x-int=-{\displaystyle \frac{1}{2}},0$$

y-intercept

$$y=2x+1$$

$$y=2(0)+1$$

$$y=0+1$$

$$y=1$$

$$y-int:0,1$$

Graph both coordinates and connect the points by drawing a line. Extend the line on both sides.