If an intercept crosses the x-axis we will call it as x-intercept.
Similar, if an intercept crosses the y-axis we will call it as a y-intercept.
Now, as the x-intercept crosses x-axis then the y coordinates of the x-intercept(s) will be zero. Also, the x coordinate of y-intercept will be zero as these points cross the y-axis. These facts give us a way to find out the intercepts for an equation. To determine the x-intercepts for an equation all that we have to do is set y =0 and solve for x. Similarly to find the y-intercepts for an equation we simply have to set x = 0 and solve for y.