Chapter 1.3, Problem 40PPS

To determine

To find the coordinates

Answer to Problem 40PPS

The coordinate of midpoint is.

Explanation of Solution

Given information:

  $W(12,2)$ and $X(7,9)$

Formula used:

Midpoint formula = $\frac{x_2^{}+x_1^{}}{2}$ for coordinate of x .

Calculation:

Let

  $x_1^{}=12,x_2^{}=7$ and,

  $y_1^{}=2,y_2^{}=9$

For x coordinate, substituting values,

  x_m = $\frac{12+7}{2}$

Solving,

  x_m = $\frac{19}{2}$

Hence, x_m = $9.5$

For y coordinate, substituting values,

  $y_m^{}=\frac{9+2}{2}$

Solving,

  $y_m^{}=\frac{11}{2}$

Hence, $y_m^{}=5.5$

The coordinate of midpoint is $(9.5,5.5)$ .