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

The y-intercept is the point where the line crosses the y-axis, represented by $$b$$ in the equation.

A slope of -3 indicates that the line falls steeply from left to right.

The y-intercept is 0, as the equation can be rewritten as $$y = -3x + 0$$ .

The slope can be determined by selecting two points on the line and using the formula $$\text{slope} = \frac{\text{rise}}{\text{run}}$$ .

A slope of 0 indicates that the line is horizontal.

The slope of a vertical line is undefined.

Start at the y-intercept (0,1) and use the slope $$\frac{-2}{3}$$ to find another point by going down 2 units and right 3 units.

The slope represents the rate of change, such as speed or cost per item.