Equations written in slope-intercept form follow a specific format.
y=mx+ b
In this form, m represents the slope of the line and b represents the y-intercept. Below we highlight the slope m and y-intercept b.
y=- 2/3x + 3
The slope is - 23. The y-intercept is 3, so the graph crosses the y-axis at the point (0, 3). A slope of - 23 means that for every 3 units we move in the positive horizontal direction, we move 2 units in the negative vertical direction.
m=- 2/3 ⇔ rise/run=- 2/3
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
