Recall that the derivative of this function, evaluated at x=2, is the slope of the tangent line to the graph of the function.
Thus, we begin by differentiating y=x^2-2x-3:
(dy/dx) = 2x -2
Evaluated at x=2, (dy/dx) = (2)(2)-2 = 4-2 = 2.
The slope of the tangent line to the graph of this function at (2, -3) is 2.