Mathematics
Grade9
Easy
Question
Line 1 and Line 2 that pass through the points (3, 7), (-2, -3) and (-4, 5), (4, 1) respectively are ____________.
- Parallel
- Coincident
- Intersecting
- Perpendicular
Hint:
In this question we have to identify the relation between the two lines . For this we can find the slope of both lines by 
, now if slopes are equal than lines are parallel and if product of slopes are -1 than the lines are perpendicular.
The correct answer is: Perpendicular
Line 1 and Line 2 passes through the points (3, 7), (-2, -3) and (-4, 5), (4, 1) respectively.
Slope of Line 1, 
= Slope of Line 2, 
=
We can see that the product of the slopes of two lines are -1 i.e. 
.
So, both the lines are perpendicular.
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