To find the midpoint of two points [tex]\((-4, -7)\)[/tex] and [tex]\(3, -2)\)[/tex], follow these steps:
1. Identify the coordinates of the two points:
- Point 1: [tex]\((x1, y1) = (-4, -7)\)[/tex]
- Point 2: [tex]\((x2, y2) = (3, -2)\)[/tex]
2. Apply the midpoint formula:
The formula for the midpoint [tex]\((x, y)\)[/tex] of two points [tex]\((x1, y1)\)[/tex] and [tex]\((x2, y2)\)[/tex] is:
[tex]\[
x = \frac{x1 + x2}{2}, \quad y = \frac{y1 + y2}{2}
\][/tex]
3. Substitute the coordinates into the formula:
For the [tex]\(x\)[/tex]-coordinate:
[tex]\[
x = \frac{-4 + 3}{2} = \frac{-1}{2} = -0.5
\][/tex]
For the [tex]\(y\)[/tex]-coordinate:
[tex]\[
y = \frac{-7 + (-2)}{2} = \frac{-9}{2} = -4.5
\][/tex]
4. Round to the nearest tenth if needed:
In this case, the calculations already provide the answer to the nearest tenth.
The midpoint of the points [tex]\((-4, -7)\)[/tex] and [tex]\((3, -2)\)[/tex] is [tex]\((-0.5, -4.5)\)[/tex].
- The [tex]\(x\)[/tex]-coordinate of the midpoint is [tex]\(-0.5\)[/tex]
- The [tex]\(y\)[/tex]-coordinate of the midpoint is [tex]\(-4.5\)[/tex]
