Find the $\mathrm{x}$ - and $\mathrm{y}$-intercepts of the graph of the given equation.
\[
3 x-4 y=15
\]
Final Answer: The x-intercept is \(\boxed{5}\) and the y-intercept is \(\boxed{-\frac{15}{4}}\).
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 \(\boxed{-\frac{15}{4}}\).