Final answer:
To find the x-intercept, set y equal to zero and solve for x. To find the y-intercept, set x equal to zero and solve for y. Plot these intercepts and draw a line through them to graph the equation.
Step-by-step explanation:
To find the x-intercept, we set y equal to zero and solve for x. When y is zero, the equation becomes x - 4(0) = 8. Simplifying, we have x = 8. So the x-intercept is (8, 0).
Next, to find the y-intercept, we set x equal to zero and solve for y. When x is zero, the equation becomes 0 - 4y = 8. Simplifying, we have -4y = 8, which gives y = -2. So the y-intercept is (0, -2).
To graph the equation, we plot the x-intercept at (8, 0) and the y-intercept at (0, -2) on a coordinate plane. Then we draw a straight line through those points.