Graphing equations in slope-intercept form

The slope-intercept form is given by the equation $$y = mx + b$$ , 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 and the direction it goes.

The y-intercept is the value of $$b$$ in the equation $$y = mx + b$$ . It is the point where the line crosses the y-axis.

The slope is -3.

A slope of 0 indicates that the line is horizontal.

The slope is $$\frac{2}{3}$$ .

Start at the y-intercept (0, -1), then use the slope $$\frac{1}{2}$$ to rise 1 unit and run 2 units to the right.

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

Two lines are parallel if they have the same slope.

The y-intercept is 5.