Equations written in slope-intercept form follow a specific format.
y= mx+ b
In this format, m represents the slope of the line and b represents the y-intercept.
Writing the Equation in Slope-Intercept Form
Since the given equation is not in slope-intercept form, let's rewrite it.
We can highlight the slope m and y-intercept b of our equation so that it will be easier to create the graph.
y= -3x - 1 ⇔ y= -3x+( -1)
The slope is -3 and the y-intercept is -1.
Graphing the Equation
A slope of -3 means that for every 1 unit we move in the negative horizontal direction, we move 3 units in the positive vertical direction.
m=rise/run=3/- 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 (- 13,0), so the x-intercept is - 13.
