Graphing 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 y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation $$y = mx + b$$ .

The slope is the coefficient of $$x$$ , which is $$-\frac{2}{3}$$ .

The slope is $$3$$ .

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 slope of a vertical line is undefined.

The slope of a horizontal line is 0.

Set $$x = 0$$ in the equation to find the y-intercept: $$y = 2$$ , so the y-intercept is (0, 2).

A line with no slope is a vertical line, which does not have a defined slope value.