Final answer:
The x-intercept is (5, 0) and the y-intercept is (0, 2.5).
Step-by-step explanation:
The x-intercept of a graph is the point where the graph intersects the x-axis, and the y-coordinate of this point is always 0. To find the x-intercept, we set y equal to 0 and solve for x:
4x + 8y = 20
4x + 8(0) = 20
4x = 20
x = 5
So, the x-intercept is (5, 0).
The y-intercept of a graph is the point where the graph intersects the y-axis, and the x-coordinate of this point is always 0. To find the y-intercept, we set x equal to 0 and solve for y:
4(0) + 8y = 20
8y = 20
y = 2.5
So, the y-intercept is (0, 2.5).