To find the X intercept of an equation you can make Y = 0 and then solve for X. To find the Y intercept of an equation you can make X = 0 and then solve for YWhen you plot the equation on a graph with axis: X and Y, you can see that when the equation line crosses the X axis the Y co-ordinate at that point is 0. Alternatively when the line crosses the Y axis you can see the x co-ordinate for that point is 0.For the equation Y = 3X-1 to find the X intercept we make y = 0 and solve for X 3X-1=03X=1X=1/3 The X intercept is (1/3,0)To find the Y intercept we make X equal to 0 and solve for YY=3(0)-1Y=-1The Y intercept is (0,-1)You can see from the diagram above that the x and y intercepts are literally where the equation intercepts the axis.