Question

IC
Given the two points P (4, 1) and Q (-2, 3), what is the slope of line PQ?

Answer 1

`\displaystyle m=(-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

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

Explanation:

Step 1: Define

Point P(4, 1)

Point Q(-2, 3)

Step 2: Find slope m

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

1. Substitute in points [SF]:
   `\displaystyle m=(3-1)/(-2-4)`
2. [Fraction] Subtract:
   `\displaystyle m=(2)/(-6)`
3. [Fraction] Simplify:
   `\displaystyle m=(-1)/(3)`