Question

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answer 1

Answer:

$\displaystyle m = \frac{-1}{3}$

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

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 points from given graph.

Point (0, -1)

Point (-3, 0)

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]:                                                              $\displaystyle m = \frac{0 - -1}{-3 - 0}$
2. [Order of Operations] Evaluate:                                                                      $\displaystyle m = \frac{1}{-3}$