Question Number 131689 by liberty last updated on 07/Feb/21
![a curve C passes through (2,0) and the slope at (x,y) as (((x+1)^2 +(y−3))/(x+1)) Find the equation of the curve.](https://www.tinkutara.com/question/Q131689.png)
$$\:\mathrm{a}\:\mathrm{curve}\:\mathrm{C}\:\mathrm{passes}\:\mathrm{through}\:\left(\mathrm{2},\mathrm{0}\right) \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{slope}\:\mathrm{at}\:\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{as}\:\frac{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{y}−\mathrm{3}\right)}{\mathrm{x}+\mathrm{1}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{curve}. \\ $$