Forms of Linear Equations

Forms of a line

Slope-intercept form

y = m x + b

m slope, b y-intercept

Point-slope form

y - y_{1} = m (x - x_{1})

Standard form

A x + B y = C

slope −A/B, y-intercept C/B, x-intercept C/A

General form

A x + B y + C = 0

Intercept form

\frac{x}{a} + \frac{y}{b} = 1

a x-intercept, b y-intercept

Horizontal line

y = b

slope 0

Vertical line

x = a

slope undefined

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