Target 2-A, Target 2-B, Target 2-C, Target 2-D, Target 2-E, Target 2-F, Target 2-G

Target 2-A

  

Find slope, length, and midpoint of a segment.

 

Sample Question

Consider the points P(−3, 5) and Q(5, −1).

  1. What is the slope of line segment PQ?
  2. What is the length of line segment PQ?
  3. What are the coordinates of the midpoint of line segment PQ?

Sample Response

I'll plot the points to see the segment and help my thinking.

  1. The slope of line segment PQ is
    I see the blue line "falls" to the right, so the slope should be negative.

  2. The length of the line segment PQ is easy to find using the Pythagorean theorem.
    62 + 82 = 100. I know 102 =100.
    So the length of segment PQ is 10.

  3. The midpoint is halfway down and halfway over from P to Q. I see it's at (1,2).