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avatar+1791 

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 $a + b$.

 Jan 19, 2024
 #1
avatar+128796 
+1

Slope =  [ b^2   - a^2  ] /  [  b - a ]  =   [ (b -a) (b + a) ] / (b -a) =  b + a  =  2

 

cool cool cool

 Jan 19, 2024

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