You can put this solution on YOUR website! Find each intercept by setting the other coordinate to 0, and solving.
for x, set y to zero
-10x+0=6 = (divide 6 by -10) so the x-intercept is ( , 0)
Now set x to zero
-10(0) + y = 6
0+y=6 so y = 6 so the y-intercept is (0,6)