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avatar+1671 

 

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 14, 2024
 #1
avatar+128448 
+1

Pretty easy

 

(b^2 - a^2) / ( b -a) =  2

 

(b + a) (b - a) / (b - a)  =  2

 

b + a  =  2

 

 

cool cool cool

 Jan 14, 2024

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