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Chapter 1: Q. 114 (page 17)

Completing a Line Segment Plot the points A = (-1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment AB, find the coordinates of B.

Short Answer

Expert verified

The coordinate of B is5,-2

Step by step solution

01

Step 1. Given Information

We have A=-1,8and M=2,3.

M is the midpoint of AB.

02

Step 2. Plotting the points 

03

Step 2. Finding coordinates of B

By Mid-Point Formula

M2,3=-1+x22,-8+y222=-1+x22鈬�4=-1+x2x2=5and-8+y22=3鈬�y2=-2

Thus,B5,-2.

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Most popular questions from this chapter

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)-2x+3y=6(c)3x-4y=-12(d)x-y=1(e)x-y=-1(f)y=3x-5(g)y=2x+3(h)y=-3x+3

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

P(1,2),m=3

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

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

True or FalseThe slope of the line2y=3x+5is3.

If three distinct points P, Q, and R all lie on a line and if d(P,Q)=d(Q,R), then Q is called the _________ of the line segment from P to R.
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