Chapter 1.3, Problem 4ACYP

To determine

To find the coordinates

Answer to Problem 4ACYP

The coordinate of midpoint is (0.5,10).

Explanation of Solution

Given information:

  $A(5,12)$ and $B(-4,8)$

Formula used:

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

Calculation:

Let

  $x_1^{}=5,x_2^{}=-4$ and,

  $y_1^{}=12y_2^{}=8$

For x coordinate, substituting values,

   x_m = $\frac{-4+5}{2}$

Solving,

   x_m = $\frac{1}{2}$

Hence, x_m = 0.5

For y coordinate, substituting values,

  $y_m^{}=\frac{8+12}{2}$

Solving,

  $y_m^{}=\frac{20}{2}$

Hence, $y_m^{}=10$

The coordinate of midpoint is (0.5,10).