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Proportional relationships

$y = kx$ , $k = y \div x$ ; the graph passes through $(0, 0)$ .

Watch out: scale by multiplying, not by adding.

Slope-intercept form

$y = mx + b$ : rate $m$ , start $b$ .

Watch out: the rate multiplies $x$ ; the starting amount stands alone.

Lines from equations

Intercepts: set the other variable to 0. Slope: solve for $y$ .

Watch out: slope of $Ax + By = C$ is $-A/B$ .

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