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.
We can highlight the slope m and y-intercept b of our equation so that it will be easier to create the graph.
y= 4x - 4 ⇔ y= 4x+( -4)
The slope is 4 and the y-intercept is -4.
Graphing the Equation
A slope of 4 means that for every 1 unit we move in the positive horizontal direction, we move 4 units in the positive vertical direction.
m=rise/run=4/1
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
Identify the x-intercept
Now that we have graphed the given function, we can use our graph to identify the x-intercept. This is the point at which the line intercepts the x-axis.
The line crosses the axis at (1,0) so the x-intercept is 1.
