Answer:The Equation of the curve y = (3/2)x^2 - 6x + 9 and it can be deduced from the following explanation
Explanation:
The image shows how by integrating both sides of the equation of our slope we can achieve the equation of our curve but with a constant assumed to be C in our case
Now to solve the value of that constant we can input the values of x and y respectively in the equation we achieved by integrating the equation of our slope and by solving the basic arithmetic we accomplish the value of our constant which is C that is equal to 9
Hence solving our problem and concluding the equation to be y = (3/2)x^2 - 6x + 9