Final answer:
The x-intercept is 5 and the y-intercept is -3.
Step-by-step explanation:
The intercepts in the equation 3x-5y=15 are the points where the line crosses the x-axis and y-axis. To find the x-intercept, we set y=0 and solve for x. When y=0, the equation becomes 3x-5(0)=15. Simplifying, we get 3x=15, so x=5. Therefore, the x-intercept is 5. To find the y-intercept, we set x=0 and solve for y. When x=0, the equation becomes 3(0)-5y=15. Simplifying, we get -5y=15, so y=-3. Therefore, the y-intercept is -3.
Learn more about Intercepts in linear equations