Question

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

Answer 1

Answer:

$\displaystyle m = \frac{5}{3}$

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: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step 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]:                                                              $\displaystyle m = \frac{9 - 4}{2 + 1}$
2. [Order of Operations] Simplify:                                                                        $\displaystyle m = \frac{5}{3}$