**The x and y-intercepts of a line is the point where the line intercepts, or crosses, either the x-axis or the y-axis**

**X-Intercept:** when the line crosses the x-axis, the y value is 0**Y-Intercept:** When the line crosses the y-axis, the x value is 0

Intercepts can be written in *(x, y)* form or as *"the x-intercept is 2"*. It can't be written as x = 2 (this is an equation of a vertical line going through the point (2, 0).

## Intercepts Practice:

Find the x and y intercepts of this line. | |

The line crosses the x-axis at -8 and the y-axis at 2.
x-intercept: (-8, 0)
y-intercept: (0, 2) | |

Find the x and y intercepts of this line. | |

The line crosses the x-axis at -½ and the y-axis at -1.
x-intercept: (-½, 0)
y-intercept: (0, -1) | |

Find the x and y intercepts of this line. | |

The line never crosses the x-axis, but does cross the y-axis at -2.
x-intercept: *none*
y-intercept: (0, -2) | |

Find the x and y intercepts of this line. | |

The line crosses the x-axis at 2, but never crosses the y-axis.
x-intercept: (2, 0)
y-intercept: *none* | |

Tell whether each line has a positive, negative, zero, or undefined slope.

Hint

positive slopes uphill

Answer

orange is negative, blue is positive, light blue is undefined, and green has a slope of zero

Find the slope and x and y intercepts of this line:

Hint

pick two points to find the slope

Answer

x-intercept is 2, y-intercept is 3, and the slope is -1.5

Find the slope and x and y intercepts of this line:

Hint

you can use the intercepts as points for the slope

Answer

x-intercept is -3, y-intercept is 1, and the slope is ⅓