Find the equation of the straight lines passing through the following pair of points:
(a, b) and (a + b, a - b)
Given: ( x1,y1) = (a,b), ( x2, y2) = (a+b, a-b)
Concept Used:
The equation of the line passing through the two points ( x1, y1) and ( x2, y2).
To find:
The equation of the straight line passing through a pair of points.
Explanation:
So, the equation of the line passing through the two points is
The formula used: 
⇒ 
⇒ by – b2 = (a – 2b)x – a2 + 2ab
⇒ (a – 2b)x – by + b2 + 2ab – a2 = 0
Hence, the equation of line is (a – 2b)x – by + b2 + 2ab – a2 = 0
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