Respuesta :

Space

Answer:

[tex]\displaystyle m=\frac{1}{2}[/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

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

Step-by-step explanation:

Step 1: Define

Point (-4, 7)

Point (10, 14)

Step 2: Find slope m

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

  1. Substitute in points [SF]:                   [tex]\displaystyle m=\frac{14-7}{10+4}[/tex]
  2. [Fraction] Subtract/Add:                    [tex]\displaystyle m=\frac{7}{14}[/tex]
  3. [Fraction] Divide:                               [tex]\displaystyle m=\frac{1}{2}[/tex]