Question

The points (-1, 4) and (2, 9) lie on a line.
What is the slope of the line?

Answer 1

`\displaystyle m = (5)/(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

Coordinate Planes

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

Explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (2, 9)

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 = (9 - 4)/(2 + 1)`
2. [Order of Operations] Simplify:
   `\displaystyle m = (5)/(3)`