Question 31824
algebraically, 

an x-intercept is a point on the graph where y is zero, and 
a y-intercept is a point on the graph where x is zero. 

So here In the equation 5x + y = 10
to find x intercept put y = 0
therfore 5x + 0 =10
therfore x = 2

to find y intercept put x = 0
therfore y = 10