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adding two points form
Common mathematical representations of a line include:
Common mathematical representations of a line include:
In 2 dimensions in the [[Cartesian plane]]:
In two dimensions in the [[Cartesian plane]]:
*Standard Form: ax + by + c = 0
*Standard Form: ax + by + c = 0
*Slope-Intercept Form: y = mx + b (where m is the [[slope]] of the line, b is the [[y-intercept]])
*Slope-Intercept Form: y = mx + b (where m is the [[slope]] of the line, b is the [[y-intercept]])
*Point-Slope Form: (y - y<sub>0</sub>) = m(x - x<sub>0</sub>) (where m is the slope and (x<sub>0</sub>, y<sub>0</sub>) is a point on the line)
*Point-Slope Form: (y - y<sub>0</sub>) = m(x - x<sub>0</sub>) (where m is the slope and (x<sub>0</sub>, y<sub>0</sub>) is a point on the line)
*Two Points Form: <math>(y - y_1) = \frac{y_2-y_1}{x_2-x_1}(x - x_1)</math> (where <math>(x_1,y_1)</math> and <math>(x_2,y_2)</math> are two different points on the line)
In n dimensions in [[Cartesian coordinates]]:
In n dimensions in [[Cartesian coordinates]]: