Question

Calculate midpoint M of segment AB¯¯¯¯¯¯¯¯ . (1 point) Responses M is located at (−2.5,2). upper M is located at left parenthesis negative 2.5 comma 2 right parenthesis . M is located at (0.5,1). upper M is located at left parenthesis 0.5 comma 1 right parenthesis . M is located at (1.5,0). upper M is located at left parenthesis 1.5 comma 0 right parenthesis . M is located at (3,0). A(-1,2) B(4,-2)

Answer 1

To find the midpoint \( M \) of a segment defined by the endpoints \( A(-1, 2) \) and \( B(4, -2) \), you can use the midpoint formula:

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

Plugging in the coordinates of points \( A \) and \( B \):

• \( A(x_1, y_1) = (-1, 2) \)
• \( B(x_2, y_2) = (4, -2) \)

Now calculate:

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

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

Thus, the midpoint \( M \) is located at:

\[ M = (1.5, 0) \]

So the correct response is:

M is located at (1.5, 0).