(a) Find the slope of the tangent line to the curve y = 9-x^{2} at the point whose x-coordinate is 2.
(b) Find the equation of this tangent line in a slope-intercept form.
(b) We know that the function goes through the point (2,5) (substituted x=2 into the original function). Therefore we can write in point-slope form and convert to slope-intercept form: