Question

What is the slope of the line that passes through the points (4, 6) and (-16, -18)? In the simplest form.

Answer 1

Answer:

$\displaystyle m=\frac{6}{5}$

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 (4, 6)

Point (-16, -18)

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]:                                                            $\displaystyle m=\frac{-18-6}{-16-4}$
2. [Fraction] Subtract:                                                                                         $\displaystyle m=\frac{-24}{-20}$
3. [Fraction] Simplify:                                                                                          $\displaystyle m=\frac{6}{5}$