Graphing Slope Intercept Form

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

The y-intercept is -2, which means the line crosses the y-axis at (0, -2).

The slope is 2.

A positive slope indicates that the line rises from left to right.

A negative slope indicates that the line falls from left to right.

The first step is to plot the y-intercept on the graph.

From the y-intercept, use the slope to rise (up or down) and run (left or right) to find another point.

An undefined slope indicates a vertical line.