Find midpoint M of the line segment with endpoints J(1.2,3.4) and K(4.8,−2.3) . If the solution includes a decimal, do not round.

Question

(1 point)
The midpoint M of segment JK¯¯¯¯¯¯¯¯ is at (
,
).

Answer 1

To find the midpoint \( M \) of the line segment with endpoints \( J(1.2, 3.4) \) and \( K(4.8, -2.3) \), you can use the midpoint formula:

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

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

Substituting in the coordinates of \( J \) and \( K \):

\[ M = \left( \frac{1.2 + 4.8}{2}, \frac{3.4 + (-2.3)}{2} \right) \]

Calculating the x-coordinate:

\[ x = \frac{1.2 + 4.8}{2} = \frac{6.0}{2} = 3.0 \]

Calculating the y-coordinate:

\[ y = \frac{3.4 - 2.3}{2} = \frac{1.1}{2} = 0.55 \]

Therefore, the midpoint \( M \) is at:

\[ M(3.0, 0.55) \]

So, the final answer is:

The midpoint \( M \) of segment \( JK \) is at \( (3.0, 0.55) \).