CoreLines
Standard Form
Ax + By = C
Overview
Standard form is useful for finding x- and y-intercepts quickly, and for systems of equations.
Domain
(-∞, +∞)
Range
(-∞, +∞)
Key Properties
1
A, B, C are integers (usually)
2
x-intercept: set y=0, solve for x
3
y-intercept: set x=0, solve for y
4
Easy to convert to slope-intercept
Key Insight
Standard form makes it easy to find intercepts: x-int = C/A, y-int = C/B (when A,B ≠ 0).
Visualize Standard Form
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