Question

What is the midpoint of (1.2,3.4) and (4.8,-2.3)

Answer 1

The midpoint of a line segment connecting the points \((x_1, y_1)\) and \((x_2, y_2)\) can be found using the midpoint formula:

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

For the points \((1.2, 3.4)\) and \((4.8, -2.3)\):

- \(x_1 = 1.2\)
- \(y_1 = 3.4\)
- \(x_2 = 4.8\)
- \(y_2 = -2.3\)

Now, plug these values into the formula:

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

Calculating the \(x\) coordinate:

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

Calculating the \(y\) coordinate:

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

Thus, the midpoint of the points \((1.2, 3.4)\) and \((4.8, -2.3)\) is:

\[
\boxed{(3.0, 0.55)}
\]