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=- 5/3x+ 2
The slope is - 53. The y-intercept is 2, so the graph crosses the y-axis at the point (0, 2).
Graphing the Equation
A slope of - 53 means that for every 3 units we move in the positive horizontal direction, we move 5 units in the negative vertical direction.
m=- 5/3 ⇔ rise/run= - 5/3
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
