Q. 84.4( 7 Votes )
Show that the line joining (2, – 3) and (– 5, 1) is parallel to the line joining (7, – 1) and (0, 3).
Answer :
To Prove: The given line is parallel to another line.
Proof: Let Assume the coordinate A(2, – 3) and B(– 5, 1), C(7, – 1) and D(0,3).
The concept used: Slopes of the parallel lines are equal.
The formula used: The slope of the line, m = 
Now, The slope of AB = 
The Slope of AB = 
Now, The slope of CD = 
The Slope of AB = 
So, The slope of AB = The slope of CD
Hence, The given Lines are parallel to each other.
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