First slide

Equation of line in Straight lines

Question

$T h e p o i n t s (- a, - b), (a, b), (a^{2}, a b) f o r m s$

Moderate

A

$V e r t i c e s o f a n e q u i l a t e r a l t r i a n g l e$
B

$V e r t i c e s o f r i g h t a n g l e d t r i a n g l e$
C

$V e r t i c e s o f a s c a l e n t r i a n g l e$
D

$a s t r i a g h t l i n e$

Solution

$T h e s l o p e o f t h e l i n e j o i n i n g t h e p o i n t s (a, b), (- a, - b) i s \frac{b + b}{a + a} = \frac{2 b}{2 a} = \frac{b}{a}$
$T h e s l o p e o f t h e l i n e j o i n i n g t h e p o i n t s (a^{2}, a b), (a, b) i s \frac{b - a b}{a - a^{2}} = \frac{b (1 - a)}{a (1 - a)} = \frac{b}{a}$
$O b s e r v i n g t h e a b o v e t w o s l o p e s, t h e y a r e e q u a l s o t h a t t h e g i v e n p o i n t s a r e c o l l i n e a r, t h e y f o r m s a s t r a i g h t l i n e$

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