**Equation of a Line**

The various common forms for the equation of a line are listed below. In all forms, slope is represented by *m*, the *x*-intercept by *a*, and the *y*-intercept by *b*.

Note: The standard form coefficients *A*, *B*, and *C* have no particular graphical significance.

| ||

Slope-intercept |
| Used when you have the slope and the y-intercept. |

Point-slope |
| (x_{1}, y_{1}) is a point on the line. |

Standard form |
| If possible, A is nonnegative and A, B, and C are relatively primeintegers. |

Two-intercept | Used when you have both intercepts. | |

Vertical |
| All points have x-coordinate a. |

Horizontal |
| All points have y-coordinate b. |

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