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Chapter 1: Q. 57 (page 1)

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-5,-3);P2=(11,9)

Short Answer

Expert verified

The midpoint of line segment is3,3.

Step by step solution

01

Step 1. Given information.

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-5,-3);P2=(11,9)

02

Step 2. Midpoint Formula.

The midpoint M=(x,y)of the line segment from P1=x1,y1toP2=x2,y2is

M=(x,y)=x1+x22,y2+y12

03

Step 3. Apply the midpoint formula.

The coordinates (x, y) of the midpoint M are

x=x1+x22=-5+112=3andy=y1+y22=-3+92=3

So, Midpoint M=(x,y)=(3,3)

04

Step 4. Conclusion.

The midpoint of the line segment is(3,3).

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

2x+13+16=3x

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-4,-3);P2=(2,2)

True or FalseVertical lines have an undefined slope.

True or False The point (-1,4)lies in quadrant IV of the Cartesian plane.
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