Question

What is the slope of the line?

Answer 1

Answer:

$\displaystyle m=-3$

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 4)

Point (2, -2)

Step 2: Find slope m

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

1. Substitute in points [SF]:                    $\displaystyle m=\frac{-2-4}{2-0}$
2. [Fraction] Subtract:                             $\displaystyle m=\frac{-6}{2}$
3. [Fraction] Divide:                                $\displaystyle m=-3$

Answer 2

Explanation

• Calculate the slope with given two coordinate points that are part of the graph by using rise over run.

$(0,4) \: \: \: \: (1,1)$

$m = \frac{4- 1}{0- 1} \\ m = \frac{ 3}{ - 1} \\ m = - 3$

Answer

$\large \boxed { - 3 }$