Functions 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.
f(x)=-3x + 4
The slope is -3. The y-intercept is 4, so the graph crosses the y-axis at the point (0, 4).
Graphing the Equation
A slope of -3 means that for every 1 unit we move in the positive horizontal direction, we move 3 units in the negative vertical direction.
m=-3/1 ⇔ rise/run=-3/1
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
