Both two lines which are passing through points will be perpendicular.
Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.
Parallel lines are those lines in which slopes are the same and the distance between them remains constant.
The first line ⇒
Passing through points (-2,-6) and (1,3)
The slope of this line = difference in ys coordinate / difference in xs coordinate
Slope = (3+6)/(1+2) = 3
The second line ⇒
Passing through points (1,2) and (-2,3)
The slope of this line = difference in ys coordinate / difference in xs coordinate
Slope = (3-2)/(-2-1) = -1/3
Now,
The slope of the first-line = -1/slope of the second line
So both lines will be perpendicular.
Hence "Both two lines which are passing through points will be perpendicular".
To learn more about parallel lines,
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