Lesson 5: Graphing Linear Equations in Standard Form

Property

The $x$-intercept is the point $(a, 0)$ where the line crosses the $x$-axis. The $x$-intercept occurs when $y$ is zero.

The $y$-intercept is the point $(0, b)$ where the line crosses the $y$-axis. The $y$-intercept occurs when $x$ is zero.

To find the $x$-intercept of the line, let $y = 0$ and solve for $x$.
To find the $y$-intercept of the line, let $x = 0$ and solve for $y$.

Property

To graph a linear equation using the intercepts:
Step 1. Find the $x$-intercept by setting $y = 0$ and solving for $x$.
Step 2. Find the $y$-intercept by setting $x = 0$ and solving for $y$.
Step 3. Plot both intercepts on the coordinate plane.
Step 4. Draw a straight line through the two points.

Examples