Let a and b be real numbers, where a < b, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.
https://web2.0calc.com/questions/coordinates_80366
+1556 
