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)
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.