Final answer:
The x-intercept is (5, 0) and the y-intercept is (0, 3).
Step-by-step explanation:
To find the x-intercept and y-intercept of the line 9x + 15y = 45, we can set one of the variables to zero and then solve for the other variable.
To find the x-intercept, we set y = 0 and solve for x: 9x + 15(0) = 45.
Simplifying the equation gives us 9x = 45, which further simplifies to x = 5. So the x-intercept is (5, 0).
To find the y-intercept, we set x = 0 and solve for y: 9(0) + 15y = 45.
Simplifying the equation gives us 15y = 45, which further simplifies to y = 3. So the y-intercept is (0, 3).