Definition of X-intercept: a point where the y-value of the point is equal to 0
[tex]5x - y = 10\\5x - 0 = 10\\5x = 10\\x = 2[/tex]
Therefore the x-intercept is (2,0).
Definition of Y-intercept: a point where the x-value of the point is equal to 0
[tex]5x - y = 10\\5(0)-y = 10\\-y = 10\\y = -10[/tex]
Therefore the y-intercept is (0,-10).
Hope that helps!