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Chapter 1: Q. 59 (page 15)

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

P1=(4,-3);P2=(6,1)

Short Answer

Expert verified

The midpoint of line segment is5,-1.

Step by step solution

01

Step 1. Given information.

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

P1=(4,-3);P2=(6,1)

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=4+62=5andy=y1+y22=-3+12=-1

So, MidpointM=(x,y)=(5,-1)

04

Step 4. Conclusion.

The midpoint of the line segment is5,-1.

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Most popular questions from this chapter

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(2,0);(2,2)

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

P1=(3,-4);P2=(5,4)

Graph the line containing the point P and having slope m.

P(-1,3),m=0

A student is asked to find the slope of the line joining (-3, 2) and (1, -4). He states that the slope is 32. Is he correct? If not, what went wrong?

True or False The midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints.
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