Question

Identify the coordinates of the midpoint of RS¯¯¯¯¯ with endpoints R(4,8) and S(−8,−12).

Answer 1

The midpoint of a segment divides it into equal halves.

The coordinate of the midpoint is (-2,-2)

The parameters are given as:

$R = (4,8)$

$S = (-8,-12)$

The coordinate of the midpoint is calculated using:

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_1}{2})$

So, we have:

$(x,y) = (\frac{4-8}{2},\frac{8-12}{2})$

$(x,y) = (\frac{-4}{2},\frac{-4}{2})$

$(x,y) = (-2,-2)$

Hence, the coordinate of the midpoint is (-2,-2)

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