How do you use the intercepts to graph the equation #x-4y= -8#?
The y-intercept is where the line crosses the y-axis, and x = 0. The x-intercept is where the line crosses the x-axis and y = 0. This will give you two points on your line.
Determine the y-intercept, where x = 0.
Divide both sides by -4.
Determine the x-intercept, where y = 0.
So now you have two points on your line with the y-intercept and x-intercept: (0, 2), representing
Now that you have two points on the line, you can determine the slope, m, using the equation
For this line:
The following is a graph of the line showing the y-intercept of 2 and the x-intercept of -8.