Question

What is the slope / rate of change for 2, 5 and -3, 7​

Answer 1

`\displaystyle m=(-2)/(5)`

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)
• Slope Formula:
  `\displaystyle m=(y_2-y_1)/(x_2-x_1)`

Explanation:

Step 1: Define

Point (2, 5)

Point (-3, 7)

Step 2: Identify

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

Step 3: Find slope m

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

1. Substitute in points [Slope Formula]:
   `\displaystyle m=(7-5)/(-3-2)`
2. [Slope] [Fraction] Subtract:
   `\displaystyle m=(2)/(-5)`
3. [Slope] [Fraction] Rewrite:
   `\displaystyle m=(-2)/(5)`