The axis intercepts will be equal when a graph crosses that axis.  So when the y-axis crosses, x is zero and 'y' would be the y-intercept.  So some of this is best suited for working with the desktop Algebrator but you can simply replace 'x' with '0' and then solve for y and that will be the y-intercept.  For the x-intercept, replace 'y' with '0' and solve for 'x=' for the x-intercept. 

The equation is manipulated into the standard form, y=mx+b, so all numeric values will be shifted to the right side of the equation along with any 'x' variable. 

P.S. For any graphable equation, the software first manipulates it into its standard form before graphing; for a linear equation, that form is "y=mx+b" where the slope "m" may then be determined by inspecting the equation (for example, in the equation "y=-2x+4" "-2" is the correct value for "m"). For a parabolic equation, the standard form is y = a(x - h)^2 + k, from which direction (polarity of "a") and axis of symmetry (value of "h"), etc. may be determined by inspection.