Question

Find the midpoint of AB given A (-2,5) and B (-4,7)

Answer 1

Answer:

$\displaystyle (-3, 6)$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)
• Midpoint Formula: $\displaystyle (\frac{x_1 + x_1}{2}, \frac{y_1 + y_2}{2})$

Step-by-step explanation:

Step 1: Define

Point A(-2, 5)

Point B(-4, 7)

Step 2: Find Midpoint

1. Substitute in points [Midpoint Formula]:                                                          $\displaystyle (\frac{-2 + -4}{2}, \frac{5 + 7}{2})$
2. Add:                                                                                                                   $\displaystyle (\frac{-6}{2}, \frac{12}{2})$
3. Divide:                                                                                                               $\displaystyle (-3, 6)$