Final answer:
The x-intercept of the equation 5x + 8y = 20 is (4, 0) and the y-intercept is (0, 2.5).
Step-by-step explanation:
The x-intercept and the y-intercept of a linear equation represent the points where the line crosses the x-axis and y-axis, respectively. To find the x-intercept, we set y to zero and solve for x, and to find the y-intercept, we set x to zero and solve for y. For the equation 5x + 8y = 20:
- To find the x-intercept, set y to 0: 5x = 20, which gives x = 4.
- To find the y-intercept, set x to 0: 8y = 20, which gives y = 2.5.
Therefore, the x-intercept is (4, 0) and the y-intercept is (0, 2.5).