Question

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

Answer 1

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 :