Linear function is a polynomial of degree 0 or 1 with straight line graph. One-variable linear function has form y = ax + b, where a is slope and b is intercept. Positive a values indicate upward slope, negative a values indicate downward slope. Constant function is also considered linear with horizontal graph
Rate of change shows how one quantity changes relative to another. Basic formula: Change in quantity 1 divided by Change in quantity 2. Algebraic formula: Δy/Δx = (y2-y1)/(x2-x1). Linear function rate: (f(b)-f(a))/b-a
Linear function represents a straight line on coordinate plane. Written in form f(x) = mx + b, where m is slope and b is y-intercept. Parent function is f(x) = x, passing through origin
Graphs show function behavior on x-y plane. Find y-intercept by setting x to 0. Slope is rise over run, written as fraction over 1. Connect at least three points to create graph
Linear function creates straight lines when graphed. Formula is y = mx + b, where m is coefficient of x. Functions have no exponent values greater than one
Linear functions have x with no exponent greater than 1. Equation of a straight line is y = ax + b. Slope (a) controls line steepness, positive values go up right. Y-intercept (b) is where line crosses y-axis