Final answer:
The graphs of the equations y = x + 20 and y = 8x intersect at a single point in the xy-plane.
Step-by-step explanation:
To find the points where the graphs of the equations y = x + 20 and y = 8x intersect in the xy-plane, we need to set the two equations equal to each other and solve for x.
x + 20 = 8x
Subtracting x from both sides, we get:
20 = 7x
Then divide both sides by 7:
20/7 = x
So, the two graphs intersect at a single point.