Math Problem Statement

What is the coordinate of the midpoint of QR?

Solution

To find the coordinate of the midpoint of QR\overline{QR}, we can use the midpoint formula for a line segment on a number line. The midpoint formula is:

Midpoint=x1+x22\text{Midpoint} = \frac{x_1 + x_2}{2}

where x1x_1 and x2x_2 are the coordinates of the two endpoints.

In this case, the coordinates of points QQ and RR are:

  • Q=6Q = -6
  • R=5R = -5

Plugging these values into the formula, we get:

Midpoint=6+(5)2=112=5.5\text{Midpoint} = \frac{-6 + (-5)}{2} = \frac{-11}{2} = -5.5

So, the coordinate of the midpoint of QR\overline{QR} is -5.5.

Would you like further details or have any questions about this problem?

Related Questions

  1. How do you find the midpoint between two points in a coordinate plane?
  2. What is the distance between two points on a number line?
  3. How do you calculate the midpoint if you only have one endpoint and the midpoint itself?
  4. How can you use the midpoint formula in real-world applications?
  5. What is the significance of the midpoint in geometry and algebra?

Tip:

Always ensure the values substituted into the midpoint formula are correct by carefully checking the coordinates of each endpoint.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Midpoints

Formulas

Midpoint formula: (x1 + x2) / 2

Theorems

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Suitable Grade Level

Grades 6-8