Find the coordinates of midpoint S of segment PQ and the midpoint T of segment PR. Then find the slope of segment QR and ST.   Thank you for your help.



Asked on

This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

1 Answer | Add Yours

lfryerda's profile pic

Posted on (Answer #1)

To find the midpoint of PQ and PR, we need to find the average of the endpoints of each line segment.

Since `P=(0,0)` and `Q=(2a,2b)` , then the midpoint is 


Similarly, the mipoint of P and R is


Now we find the slope of the two lines using the slope formula


So the slope of QR is

`m_{QR}={0-2b}/{2c-2a}`   factor 2 from numerator and denominator


The slope of ST is



so both slopes are the same and the lines are parallel.

The slope of QR and ST is `m=-b/{c-a}` .

We’ve answered 287,690 questions. We can answer yours, too.

Ask a question