Question

What is the midpoint for (-2,9) and (7,3)

Answer 1

We are given the points:

(-2, 9) and (7, 3)

The midpoint of the two points can be calculated using the formula:

`\begin{gathered} (x_m,y_m)\text{ = (}(x_2+x_1)/(2),(y_2+y_1)/(2)) \\ \text{where (x}_m,y_m)\text{ are the coordinates of the mid-point} \end{gathered}`

When we substitute the given points and simplify, we have:

`\begin{gathered} (x_m,y_m)\text{ =( }(7+(-2))/(2),(3+9)/(2)) \\ =\text{ (}(5)/(2),\text{ }(12)/(2)) \\ =\text{ (}(5)/(2),\text{ 6)} \end{gathered}`

Hence, the mid-point of the given points is (5/2, 6)