State whether the two lines in each of the following are parallel, perpendicular or neither :
Through (5, 6) and (2, 3); through (9, – 2) and 96, – 5)
We have given Coordinates off two lines.
Given: (5, 6) and (2, 3); (9, – 2) and 96, – 5)
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 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 (5, 6) and (2, 3)
So, m1 = 1
Now, The slope of the line whose Coordinates are (9, – 2) and (6, – 5)
So, m2 = 1
Here, m1 = m2 = 1
Hence, The lines are parallel to each other.