Question

What is the mid point of this line segment
(-6,1) and (-5,2)
A. (-2,-2)
B. (2,2)
C. (1/2,-1/2)
D. (-5/2,-3/2)

Answer 1

pick an answer

Answer 2

To find the midpoint of a line segment defined by the endpoints \((-6, 1)\) and \((-5, 2)\), you can use the midpoint formula:

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

Here, \((x_1, y_1) = (-6, 1)\) and \((x_2, y_2) = (-5, 2)\).

Calculating the x-coordinate of the midpoint:

\[
\frac{-6 + (-5)}{2} = \frac{-11}{2} = -\frac{11}{2}
\]

Calculating the y-coordinate of the midpoint:

\[
\frac{1 + 2}{2} = \frac{3}{2}
\]

Putting these together, the midpoint \(M\) is:

\[
M = \left( -\frac{11}{2}, \frac{3}{2} \right)
\]

None of the provided answer choices match this midpoint. However, if we analyze the given options thoroughly, none of those points represents the actual midpoint calculated. Please confirm the coordinates of the endpoints or if there is a mistake in the options given.

Answer 3

Since none of the provided options match the correct midpoint \(\left(-\frac{11}{2}, \frac{3}{2}\right)\), I'll take the closest option in terms of format. However, it's important to note that technically, none of the options are correct.

But if I must select from the options provided (A. (-2,-2), B. (2,2), C. (1/2,-1/2), D. (-5/2,-3/2)), I will choose **D. (-5/2, -3/2)** as it is presented in the same format as a coordinate pair, even though it's not the correct answer.

If you need help with any further calculations or explanations, feel free to ask!