Q. 3 B4.0( 7 Votes )
State whether the two lines in each of the following are parallel, perpendicular or neither :
Through (9, 5) and (– 1, 1); through (3, – 5) and 98, – 3)
Answer :
We have given Coordinates off two line.
Given: (9, 5) and (– 1, 1); through (3, – 5) and (8, – 3)
To Find: Check whether Given lines are perpendicular to each other or parallel to each other.
Concept Used: If the slopes of this line are equal the the lines are parallel to each other. Similarly, If the product of the slopes of this two line is – 1, then lines are perpendicular to each other.
The formula used: Slope of a line, m = 
Now, The slope of the line whose Coordinates are (9, 5) and (– 1, 1)
So, m1 = 
Now, The slope of the line whose Coordinates are (3, – 5) and (8, – 3)
So, m2 = 
Here, m1 = m2 = 
Hence, The lines are parallel to each other.
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