Graphing Lines — Cheat sheet

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Two points, then a ruler

Form	Fastest route
$ax + by + c = 0$	plot both intercepts
$y = mx + n$	start at $(0, n)$ , step run and rise
Through the origin	origin plus any second point
$x = c$ / $y = c$	vertical / horizontal, drawn directly

Check	What it catches
Plot a third point	an arithmetic slip in one of the first two
Slope sign vs direction	rises right if $m > 0$ , falls if $m < 0$
Extend past the points	a line is infinite; a segment is not the answer