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I need help finding the slope of two lines and seeing if they are perpendicular

I need help finding the slope of two lines and seeing if they are perpendicular-example-1
User Deterb
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The slope of a line is given by the formula:


m=(y2-y1)/(x2-x1)

Where m is the slope, (x1,y1) and (x2,y2) are the coordinates of two points on the line.

In the first line we can identify the next two points: (0,0) and (2,1).

The slope of this line is:


m=(1-0)/(2-0)=(1)/(2)

In the second line, the two points that we can identify are: (0,4) and (2,1).

The slope is then:


m=(1-4)/(2-0)=(-3)/(2)=-(3)/(2)

In order to know if they are perpendicular, we need to know that two perpendicular lines have slopes that are negative reciprocal to each other, it means:


m1\cdot m2=-1

We need to check if this is true with the two slopes we have, then :


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User UpmostScarab
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