Linear Functions

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

The slope (m) can be identified from the equation in slope-intercept form (y = mx + b) as the coefficient of x.

The y-intercept (b) represents the point where the line crosses the y-axis.

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

The slope of the line is -2.

The y-intercept of the line is -5.

First, plot the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot another point.

The slope of a horizontal line is 0.

The slope of a vertical line is undefined.

A slope of 3 indicates that for every 1 unit you move to the right, the line rises 3 units, making it steep.