To find the x-intercept, throw in 0 for y:
[tex]5x-2(0)=10 \newline 5x=10 \newline x=2[/tex]
So the x-intercept is (2,0).
To find the y-intercept, throw in 0 for x:
[tex]5(0)-2y=10 \newline -2y=10 \newline y=-5[/tex]
So the y-intercept is [tex](0,-5)[/tex].