Geometry - Line

Equation of a Line

Slope-Intercept Form

The line is defined by its slope (m) and y-intercept (b).

Point-Slope Form

The line is described by its slope (m) and a selected point P(x1, y1).

General Form

The line is described by 3 positive constant values (A,B,C).

Formulas

A line with 2 chosen points:

Distance between the 2 points:

Midpoint between the 2 points:

Slope of the line:

Given 2 lines y1=m1x+b1 and y2=m2x+b2:

then the lines intersect at a single point

then the lines lie parallel with no intersections

then the lines lie on top of each other with infinite intersections

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