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agasfer [191]
2 years ago
5

2

Mathematics
1 answer:
s2008m [1.1K]2 years ago
3 0

Answer:

<em>a(-5,-2)</em>

Step-by-step explanation:

<u>The midpoint of a segment</u>

Given points C(xc,yc) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:

\overline{CM} = \overline{ MB}

Applying that relation in both axes separately, we can write:

\displaystyle x_m=\frac{xc+xb}{2}

\displaystyle y_m=\frac{yc+yb}{2}

Knowing the coordinates of the midpoint and B, we can find the coordinates of the other extreme C solving both equations for the required variable:

x_c=2x_m-x_b

y_c=2y_m-y_b

Plugging in the known values: M=(-1,1) and B=(3,4):

x_c=2*(-1)-3=-2-3=-5

y_c=2*1-4 = 2-4=-2

The coordinates of C are (-5,-2)

a(-5,-2)

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