Question

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

Answer 1

Answer:

$\displaystyle m=\frac{-2}{5}$

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: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step 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]:                                                             $\displaystyle m=\frac{7-5}{-3-2}$
2. [Slope] [Fraction] Subtract:                                                                             $\displaystyle m=\frac{2}{-5}$
3. [Slope] [Fraction] Rewrite:                                                                              $\displaystyle m=\frac{-2}{5}$