Line

Scott Solomon

Line


Basics
A line is a flat straight figure extending infinitely through two points.  (See Line L above.)
x-axis = horizontal
x = horizontal coordinate
(x, y) = point representing horizontal and vertical coordinates on Line L

Slope refers to the steepness of a line.
m = slope


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

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

point-slope form of the equation of a line
y – y1 = m(x – x1)


Formulas (NOT on Mathematics Formula Sheet)
slope as change
m = \bf\displaystyle\frac{change\hspace{0.1cm}in\hspace{0.1cm}y}{change\hspace{0.1cm}in\hspace{0.1cm}x}

slope-intercept b
b = y – mx

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

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