Math Problem Statement

midpoint of (-3,4) (5,-1)

Solution

The formula for finding the midpoint MM of two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:

M=(x1+x22,y1+y22)M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)

Given the points (3,4)(-3, 4) and (5,1)(5, -1), we can substitute these values into the formula:

M=(3+52,4+(1)2)M = \left( \frac{-3 + 5}{2}, \frac{4 + (-1)}{2} \right)

M=(22,32)M = \left( \frac{2}{2}, \frac{3}{2} \right)

M=(1,1.5)M = (1, 1.5)

So, the midpoint is (1,1.5)(1, 1.5).

Would you like more details or have any questions?

Here are 5 related questions:

  1. How is the midpoint useful in geometry?
  2. How can you find the midpoint on a graph?
  3. What is the distance between the two points (3,4)(-3, 4) and (5,1)(5, -1)?
  4. How do you calculate the slope between two points?
  5. Can you find the midpoint of three or more points?

Tip: The midpoint divides a line segment into two equal halves.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Midpoint

Formulas

Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)

Theorems

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Suitable Grade Level

Grades 6-8