Question

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

Answer 1

`\displaystyle m=(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=(y_2-y_1)/(x_2-x_1)`

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=(-18-6)/(-16-4)`
2. [Fraction] Subtract:
   `\displaystyle m=(-24)/(-20)`
3. [Fraction] Simplify:
   `\displaystyle m=(6)/(5)`