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. The given equation is already in this form, so we can highlight its slope and y-intercept.
y= 1/3x+ 2
The y-intercept is 2, so the graph passes through the y-axis at (0, 2).
Graphing the Equation
A slope of 13 means that for every 3 units we move in the positive horizontal direction, we move 1 unit in the positive vertical direction.
m= 1/3 ⇔ rise/run=1/3
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
