Respuesta :

Space

Answer:

[tex]\displaystyle m = -3[/tex]

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

Coordinate Planes

  • Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Point (5, 2)

Point (3, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

  1. Substitute in points [Slope Formula]:                                                         [tex]\displaystyle m = \frac{8 - 2}{3 - 5}[/tex]
  2. [Order of Operations] Simplify:                                                                   [tex]\displaystyle m = \frac{6}{-2}[/tex]
  3. Simplify:                                                                                                         [tex]\displaystyle m = -3[/tex]