Calculate midpoint M of segment AB.

Question

(1 point)

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M is located at (0.5, 1). M is located at (-2.5, 2). M is located at (1.5, 0). M is located at (3,0).

A: (-1,2)
B: 4,-2

Answer 1

To find the midpoint $M$ of the segment defined by points $A$ and $B$, we can use the midpoint formula:

$$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$$

Where $A=(x_1,y_1)$ and $B=(x_2,y_2)$.

Given: $A=(-1,2)$ and $B=(4,-2)$

Now, let's plug in the coordinates:

$$M_x=\frac{-1+4}{2}=\frac{3}{2}=1.5$$

$$M_y=\frac{2+(-2)}{2}=\frac{0}{2}=0$$

So, the coordinates of the midpoint $M$ are:

$$M=(1.5,0)$$

Thus, M is located at (1.5, 0).