Find the $x$ - and $y$-intercepts of the graph of $-7 x+10 y=35$. State each answer as an integer or an improper fraction in simplest form.

Step 1 ：Find the x-intercept by setting y = 0 in the equation -7x + 10y = 35.

Step 2 ：Solving for x, we get x = -5.

Step 3 ：Find the y-intercept by setting x = 0 in the equation -7x + 10y = 35.

Step 4 ：Solving for y, we get y = \(\frac{7}{2}\).

Step 5 ：So, the x-intercept is \(\boxed{-5}\) and the y-intercept is \(\boxed{\frac{7}{2}}\).