The equation of an ellipse is x^2/a^2+y^2/b^2=1

where 2a and 2b are the lengths of the major and minor axis, respectively. Write a program in a script file that first derives the equation (symbolically) of the tangent line to the ellipse at the point (x_0,y_0) on the upper part of the ellipse (i.e. for -a<x_0<a and 0<y_0). Then, for specific values of a, b, x_0, and y_0 the program makes a plot, like the one shown on the right, of the ellipse and the tangent line. Execute the program with a=10, b=7, and x_0=8

I have no idea where to even start with this one...