## How to Find Intercepts From an Equation

- x Intercept is where the graph of an equation crosses the x-axis
- y Intercept is where the graph of an equation crosses the y-axis

Table of Contents

## How To find the intercepts

What Intercept | Steps |

x intercepts (x, 0) | 1. Set y=02. Solve for x |

y intercepts (0, y) | 1. Set x=02. Solve for y |

Example

Find the intercepts of y = x^{2} − 9

**x intercept**

set y=0

0 = x^{2} − 9

x^{2} = 9

x = 3 or −3

The x intercepts of y = x^{2} − 9 are (3,0) and (−3,0)

**y intercept**

set x=0

y = 0^{2} − 9

y = −9

The y intercepts of y = x^{2} − 9 is (0,-9)

And here is the graph of x^{2} – 9 to confirm what we found: