Question

Find the midpoint of the two points below. Type your answer as a point(x,y) without any spaces between your characters. Be sure to include theparentheses and a comma between your x and y values. If a value is notan integer then type your answer as a decimal rounded to the nearesthundredth.(0,7) and (4,-9)The midpoint is?

Answer 1

Each coordinate of the midpoint between two points is given by the sum of the respective coordinates of those two points, divided by 2:

`midpoint_{\text{ }}of(x_1,y_1)and(x_2,y_2\text{)= }((x_1+x_2)/(2),(y_1+y_2)/(2))`

For the points (0,7) and (4,-9), we have:

x₁ = 0

y₁ = 7

x₂ = 4

y₂ = -9

Thus, the midpoint between those points is:

`((0+4)/(2),(7-9)/(2))=((4)/(2),(-2)/(2))=(2,-1)`

Therefore, the midpoint is: (2,-1)