# The formula of midpoint between two coordinates and the point midway between the given coordinates. ### 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 3E
To determine

## To fill: The formula of midpoint between two coordinates and the point midway between the given coordinates.

Expert Solution

Point midway between the points (a,b) and (c,d) is {(c+a)2,(d+b)2} and the point midway between the given coordinates (1,2) and (7,10) is {4,6}

### Explanation of Solution

Formula used:

Midpoint between the line segments A(x1,y1)toB(x2,y2)={(x2+x1)2,(y2+y1)2}

Calculation:

The given coordinates are. (a,b) and (c,d)

Substitute the value of given coordinates in the formula to find the distance between them.

Substitute a in place of x1 , b in place of y1 , c in place of x2 and d in place of y2 .

{(c+a)2,(d+b)2}

Point midway between the points (a,b) and (c,d) is {(c+a)2,(d+b)2}

Section2:

The given coordinates are (1,2) and (7,10) .

Substitute the value of given coordinates in the formula to find the distance between them.

Substitute 1 for x1 2 for y1 , 7 for x2 and 10 for y2 .

Midpoint={(7+1)2,(10+2)2}={82,122}={4,6}

Therefore, the point midway between the given coordinates (1,2) and (7,10) is {4,6} .

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