Question

What is the slope of the line that passes through the points (9, 5) and (21, 1)?

Answer 1

Answer:

$\displaystyle m = \frac{-1}{3}$

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 (9, 5)

Point (21, 1)

Step 2: Solve for slope m

1. Substitute in points [Slope Formula]:                                                              $\displaystyle m = \frac{1-5}{21-9}$
2. [Fraction] Subtract:                                                                                           $\displaystyle m = \frac{-4}{12}$
3. [Fraction] Simplify:                                                                                            $\displaystyle m = \frac{-1}{3}$