Chapter 1.3, Problem 44PPS

To determine

To find the coordinates

Answer to Problem 44PPS

The coordinate of midpoint is $(-8.4,-5.6)$ .

Explanation of Solution

Given information:

  $J(-11.2,-3.4)$ and $K(-5.6,-7.8)$

Formula used:

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

Calculation:

Let

  $x_1^{}=-11.2,x_2^{}=-5.6$ and,

  $y_1^{}=-3.4,y_2^{}=-7.8$

For x coordinate, substituting values,

  x_m = $\frac{-11.2-5.6}{2}$

Solving,

  x_m = $\frac{-16.8}{2}$

Hence, x_m = $-8.4$

For y coordinate, substituting values,

  $y_m^{}=\frac{-3.4-7.8}{2}$

Solving,

  $y_m^{}=\frac{-11.2}{2}$

Hence, $y_m^{}=-5.6$

The coordinate of midpoint is $(-8.4,-5.6)$ .