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equation of a line

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.

Forms for the Equation of a Line

Slope-intercept

y = mx + b

Used when you have the slope and the y-intercept.
Point-slope

yy1 = m(xx1)

(x1, y1) is a point on the line.
Standard form

Ax + By = C

If possible, A is nonnegative and A, B, and C are relatively primeintegers.
Two-intercept

Used when you have both intercepts.
Vertical

x = a

All points have x-coordinate a.
Horizontal

y = b

All points have y-coordinate b.

 

Movie Clips (with narration)

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