Final answer:
The x-intercept is (3, 0) and the y-intercept is (0, -5) for the equation 5x - 3y = 15.
Step-by-step explanation:
The intercepts for the equation 5x - 3y = 15 can be found by setting one of the variables equal to zero and solving for the other variable.
To find the x-intercept, let y = 0:
5x - 3(0) = 15
5x = 15
x = 3
So the x-intercept is (3, 0).
To find the y-intercept, let x = 0:
5(0) - 3y = 15
-3y = 15
y = -5
So the y-intercept is (0, -5).