How do you find the midpoint of the line segment joining (3,5) and (-2,-4)?

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How do you find the midpoint of the line segment joining (3,5) and (-2,-4)?

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Answer 1 · 2016-07-27T13:26:32

Midpoint: $(\frac{1}{2}, \frac{1}{2})$ $color(green)(""(1/2,1/2))$

Explanation:

The midpoint of a pair of coordinates $(x_{A}, y_{A})$ $(x_A,y_A)$ and $(x_{B}, y_{B})$ $(x_B,y_B)$ is
$XXX (midpoint of x range, midpoint of y range) = (\frac{x_{A} + x_{B}}{2}, \frac{y_{A} + y_{B}}{2})$ $color(white)("XXX")("midpoint of "x " range"," midpoint of " y " range")=((x_A+x_B)/2,(y_A+y_B)/2)$

The midpoint of a range is simply the average of the range's two end values.

Therefore the midpoint of $(3, 5) : (- 2, - 4)$ $(3,5):(-2,-4)$ is
$XXX (\frac{3 + (- 2)}{2}, \frac{5 + (- 4)}{2}) = (\frac{1}{2}, \frac{1}{2})$ $color(white)("XXX")((3+(-2))/2, (5+(-4))/2)=(1/2,1/2)$

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How do you find the midpoint of the line segment joining (3,5) and (-2,-4)?

1 Answer

Explanation:

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