How do you find the midpoint of the line segment joining P(-4,-1) and Q(-1,7)?

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Answer 1 · 2016-06-25T13:44:16

The midpoint $= (- 2.5, 3)$ $= (-2.5 , 3)$

The coordinates are:
$P (- 4, - 1) = x_{1}, y_{1}$ $P (-4,-1) = color(blue)(x_1 , y_1$

$Q (- 1, 7) = x_{2}, y_{2}$ $Q (-1 , 7) = color(blue)(x_2 , y_2$

The midpoint is calculated using formula:

Midpoint $= (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $= (color(blue)((x_1 + x _2) / 2 , (y_1 + y _2)/2))$

$= (\frac{- 4 + (- 1)}{2}, \frac{- 1 + 7}{2})$ $= (( -4 + (-1)) / 2 , (-1 + 7) /2)$

$= (\frac{- 5}{2}, \frac{6}{2})$ $= ((-5) / 2 , (6) /2)$

$= (- 2.5, 3)$ $= (-2.5 , 3)$