Midpoint - Related to nding the distance between two points is the problem of nding the midpoint of the line segment connecting two points Given two

Midpoint - Related to nding the distance between two points...

This preview shows page 1 out of 1 page.

Example 1.1.6.Find the midpoint of the line segment connectingP(-2,3) andQ(1,-3). Solution.M=x+x12,y+y12=(-2) + 12,3 + (-3)2=-12,2=-12,The midpoint is(-12,).We close with a more abstract application of the Midpoint Formula. We will revisit the following example in Exercise72in Section2.1.Example 1.1.7.Ifa6=b, prove that the liney=xequally divides the line segment with endpoints(a, b) and (b, a). Solution.To prove the claim, we use Equation1.2to find the midpointM=a+b2,b+a2=a+b2,a+b2Since thexandycoordinates of this point are the same, we find that the midpoint lies on the liney=x, as required.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture