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 $a + b$.
Slope=[b2−a2]/[b−a]=[(b−a)(b+a)]/(b−a)=b+a=2
+921 
