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.
Identifying Slope and Intercept
Since the given equation is not in slope-intercept form, let's rewrite it so that it will be easier to identify the slope and y-intercept.
Below we highlight the slope m and y-intercept b.
y=1/4x+ 0
The slope is 14. The y-intercept is 0, so the graph crosses the y-axis at the point (0, 0).
Graphing the Equation
A slope of 14 means that for every 4 units we move in the positive horizontal direction, we move 1 unit in the positive vertical direction.
m=1/4 ⇔ rise/run=1/4
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
