Final answer:
The x-intercept of the given equation is (2, 0) and the y-intercept is (0, -5).
Step-by-step explanation:
The given equation is 5x - 2y = 10. To find the x-intercept, we set y = 0 and solve for x. Substitute y = 0 into the equation: 5x - 2(0) = 10. Simplifying, we get 5x = 10, which gives x = 2. So, the x-intercept is (2, 0).
To find the y-intercept, we set x = 0 and solve for y. Substitute x = 0 into the equation: 5(0) - 2y = 10. Simplifying, we get -2y = 10, which gives y = -5. So, the y-intercept is (0, -5).