Find the $\mathrm{x}$ - and $\mathrm{y}$-intercepts of the graph of the given equation. \[ 3 x-4 y=15 \]

Step 1 ：The x-intercept is the point where the graph crosses the x-axis. At this point, y = 0. So, to find the x-intercept, we can set y = 0 in the equation and solve for x.

Step 2 ：The y-intercept is the point where the graph crosses the y-axis. At this point, x = 0. So, to find the y-intercept, we can set x = 0 in the equation and solve for y.

Step 3 ：Substitute y = 0 into the equation 3x - 4y = 15, we get x = 5.

Step 4 ：Substitute x = 0 into the equation 3x - 4y = 15, we get y = -15/4.

Step 5 ：Final Answer: The x-intercept is \(\boxed{5}\) and the y-intercept is \(\boxed{-\frac{15}{4}}\).