Question

What is the midpoint of (-3.2,3.5) and (2.1,-2.3)

Answer 1

To find the midpoint of two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the midpoint formula, which is:

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

For the points \((-3.2, 3.5)\) and \((2.1, -2.3)\), we can assign:

- \(x_1 = -3.2\)
- \(y_1 = 3.5\)
- \(x_2 = 2.1\)
- \(y_2 = -2.3\)

Now, we can plug these values into the formula:

1. Calculate the x-coordinate of the midpoint:
\[
x = \frac{-3.2 + 2.1}{2} = \frac{-1.1}{2} = -0.55
\]

2. Calculate the y-coordinate of the midpoint:
\[
y = \frac{3.5 + (-2.3)}{2} = \frac{3.5 - 2.3}{2} = \frac{1.2}{2} = 0.6
\]

Putting it all together, the midpoint of the points \((-3.2, 3.5)\) and \((2.1, -2.3)\) is:

\[
\text{Midpoint} = (-0.55, 0.6)
\]