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)

Question

Philoid · Accepted 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.

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)

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)