Hi there!
You can find the intercepts of an equation by setting one variable to 0 and solving for the other. Here is how you do that -
x-intercept:
-x + 5y = 10
Set y to 0, as we are trying to find the x-intercept
-x + 5(0) = 10
-x = 10
x = -10
y-intercept:
-x + 5y = 10
Set x to 0, for the purpose of finding the y-intercept
-(0) + 5y = 10
5y = 10
y = 2
Therefore, the intercepts of the equation -x + 5y = 10 when it is graphed is x = -10 and y = 2, meaning that the x-intercept is -10 and the y-intercept is 2. Hope this helped!