we have that
5x - 2y = 10
we know that
Part A)
the x-intercept is when y=0
then
5x - 2y = 10------> 5x=10--------> x=10/5------> x=2
the answer Part A) is
the x intercept is the point (2,0)
Part B)
the y-intercept is when x=0
then
5x - 2y = 10------> -2y=10------> y=-10/2-----> y=-5
the answer Part B) is
the y intercept is the point (0,-5)
see the attached figure