Equations {linear equation} {first-degree equation} can have variables raised only to first power.
graph
Linear-equation graph is a straight line.
form
Standard form is a1 * x1 + a2 * x2 + ... + aN * xN = b, where b is constant, a1 to aN are coefficients, and x1 to xN are variables.
homogeneous
Linear homogeneous equations equal zero.
one variable
Linear equation can have only one variable: a1 * x1 = b. Straight line can have point where line intercepts y-axis {y-intercept} and point where line intercepts x-axis {x-intercept}. Straight line inclines to x-axis {slope, line}.
Linear equation can have form a*y + b*x = c {general form}. x = (c - a*y) / b. Slope is -b/a. y-intercept is c/a.
Linear equation can have form x/a + y/b = 1 {intercept form, line}. y-intercept is a. x-intercept is b.
Straight lines in planes can have length p. x * cos(A) + y * sin(A) - p = 0 {normal equation}, where A is angle that perpendicular from origin (0,0) to straight line makes with positive x-axis.
Linear equation can have form y - A = m * (x - B) {point-slope form}. (B,A) is line point. Slope is m.
Linear equation can have form y = m*x + b {slope-intercept form}. x = (y - b) / m. Slope is m. y-intercept is b.
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Date Modified: 2022.0225