Answered

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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?

Sagot :

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

[tex]midpoint_{\text{ }}of(x_1,y_1)and(x_2,y_2\text{)= }(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

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:

[tex](\frac{0+4}{2},\frac{7-9}{2})=(\frac{4}{2},\frac{-2}{2})=(2,-1)[/tex]

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

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