Question

Calculate midpoint M of AB. (3,0) (1.5,0) (0.5,1) (-2.5,2)

Answer 1

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

Answer 2

To calculate the midpoint \( M \) of a line segment defined by two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \), the formula is:

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

It appears you have four points given: \( (3, 0) \), \( (1.5, 0) \), \( (0.5, 1) \), \( (-2.5, 2) \). To calculate the midpoint, we need to clarify which two points are points \( A \) and \( B \) for the line segment.

If we take the first two points \( A(3, 0) \) and \( B(1.5, 0) \) as an example, we can compute the midpoint of these two points:

\[
M = \left( \frac{3 + 1.5}{2}, \frac{0 + 0}{2} \right) = \left( \frac{4.5}{2}, \frac{0}{2} \right) = \left( 2.25, 0 \right)
\]

If you want to calculate the midpoint between different pairs of points, please specify which two points to consider.

Answer 3

To find the midpoint \( M \) of the points \( A(-1, 2) \) and \( B(4, -2) \), we 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 \( B \):

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

Now, substituting these values into the formula:

\[
M = \left( \frac{-1 + 4}{2}, \frac{2 + (-2)}{2} \right)
\]

Calculating each part:

\[
M = \left( \frac{3}{2}, \frac{0}{2} \right) = \left( 1.5, 0 \right)
\]

Thus, the midpoint \( M \) of points \( A(-1, 2) \) and \( B(4, -2) \) is:

\[
M = \left( 1.5, 0 \right)
\]