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= 2x + 4
The slope is 2 and the y-intercept is 4.
Graphing the Equation
A slope of 2 means that for every 1 unit we move in the positive horizontal direction, we move 2 units in the positive vertical direction.
m⇒ rise/run=2/1
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 (-2,0) so the x-intercept is -2.
