Linear functions are routinely used to model data, approximate change, and find the rate of change of a curve. In this program, Sharpie the Pencil shows students how to plot and sketch a linear graph from a linear equation and then how to derive a linear equation from a linear graph. In the process, the slope-intercept form of linear equation is illustrated, and the y-intercept and the gradient m are underscored as key ideas in determining the equation of a line.

Encoded with permission for digital streaming by Infobase on Dec. 31, 2009. Learn360 is distributed by Infobase for Films for the Humanities & Sciences, Cambridge Educational, Meridian Education, and Shopware.

Linear Graphs (1:40) -- Gradient Calculation (1:54) -- Negative Gradient Calculation (1:28) -- Linear Functions: Table of Coordinates (2:21) -- How to Plot a Linear Graph (1:13) -- Hot to Plot a Linear Equation (1:35) -- How to Sketch a Linear Graph (2:17) -- Linear Equation Problem and Solution (1:06) -- Plot the Line of a Linear Equation (1:32) -- Derivation of Linear Equation (1:22) -- Gradient Calculation (0:56) -- Problem and Solution: Derivation of Linear Equation (2:21).