7.) Find the equation of the curve that passes through the point (4, 5) if its slope is
given by the following equation.

Rearranging and integrating, you have
... y = ∫(4x-7)dx = 2x² -7x +c
Applying the boundary condition, you have
... 5 = 2·4² -7·4 +c
... 5 - 4 = c = 1
Then the equation of the curve is
... y = 2x² -7x +1