Line

Line = Flat Straight Figure Extending Infinitely Through Two Points

line


Basics

line
A line is a flat straight figure extending infinitely through two points.  (See Line L above.)
x-axis = horizontal
y-axis = vertical
x = horizontal coordinate
y = vertical coordinate
(x, y) = point representing horizontal and vertical coordinates on Line L
(o, b) = y-intercept = point where Line L crosses the y-axis
m = slope


Formulas (provided by Mathematics Formula Sheet)
slope of a line
\bf\displaystyle m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}

slope-intercept form of the equation of a line
\bf\displaystyle y=mx+b

point-slope form of the equation of a line
\bf\displaystyle y-{{y}_{1}}=m(x-{{x}_{1}})


Formulas (NOT provided by Mathematics Formula Sheet)
slope as change
\bf\displaystyle m=\frac{{{change\;in\;y}}}{{{change\;in\;x}}}

slope-intercept b
\bf\displaystyle b=y-mx

standard form of the equation of a line
\bf\displaystyle ax+by+c=0

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