# The coordinates of B.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.8, Problem 46E
To determine

## To calculate: The coordinates of B.

Expert Solution

The coordinates of the point B is (10,13) .

### Explanation of Solution

Given information:

M(6,8) is the midpoint of the line segment AB and A has coordinates (2,3) .

Formula used:

Mid-point formula between two points X(a1,b1) and Y(a2,b2) is mathematically expressed as,

(a1+a22,b1+b22)

Calculation:

Consider the given information that M(6,8) is the midpoint of the line segment AB and A has coordinates (2,3) .

Let us assume coordinates of point B as (x,y) .

Recall the mid-point formula between two points X(a1,b1) and Y(a2,b2) is mathematically expressed as,

(a1+a22,b1+b22)

So, mid-point of line segment AB is calculated as,

(2+x2,3+y2)

But it is given that mid-point of AB is (6,8) ,

So, it will be further solved by equating the both,

(2+x2,3+y2)=(6,8)

Equate x-coordinates and y-coordinates on both sides,

2+x2=62+x=12x=122x=10

3+y2=83+y=16y=163y=13

Thus, the coordinates of the point B is (10,13) .

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