Question

If R is the midpoint of segment AM¯¯¯¯¯¯¯¯¯ , find midpoint R . (1 point) Responses R is located at (−2,7). upper B is located at left parenthesis negative 2 comma 7 right parenthesis . R is located at (0,2.5). upper B is located at left parenthesis 0 comma 2.5 right parenthesis . R is located at (−2,−2). upper B is located at left parenthesis negative 2 comma negative 2 right parenthesis . R is located at (−2,2.5). A(-2,4) M(-3,1)

Answer 1

To find the midpoint R of the segment AM, where point A is at (-2, 4) and point M is at (-3, 1), we can use the midpoint formula:

\[
R = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

where \( (x_1, y_1) \) are the coordinates of point A and \( (x_2, y_2) \) are the coordinates of point M.

Plugging in the coordinates:

- \( x_1 = -2 \), \( y_1 = 4 \)
- \( x_2 = -3 \), \( y_2 = 1 \)

We calculate the x-coordinate of R:

\[
x_R = \frac{-2 + (-3)}{2} = \frac{-5}{2} = -2.5
\]

Now we calculate the y-coordinate of R:

\[
y_R = \frac{4 + 1}{2} = \frac{5}{2} = 2.5
\]

So, the coordinates of midpoint R are:

\[
R = \left( -2.5, 2.5 \right)
\]

However, this result does not match any of the available responses exactly. Please check the coordinates again or the context of the midpoint problem.