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Chapter 1: Q. 58 (page 15)

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

P1=(2,-3);P2=(10,3)

Short Answer

Expert verified

The midpoint of line segment is6,0.

Step by step solution

01

Step 1. Given information.

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

P1=(2,-3);P2=(10,3)

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=2+102=6andy=y1+y22=-3+32=0

So, MidpointM=(x,y)=(6,0)

04

Step 4. Conclusion.

The midpoint of the line segment is(6,0).

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Most popular questions from this chapter

Can the equation of every line be written in slope鈥搃ntercept form? Why?

Find the distance d(P1,P2)between the points P1andP2.

P1=(a,a);P2=(0,0)

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

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

(-1,1);(2,3)
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