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What are the x-intercept and the y-intercept of the
graph of 5x + 8y = 20?

1 Answer

12 votes

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).

User Kurt Stutsman
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