Question

What is the slope of the line?

Answer 1

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 = (4- 1)/(0- 1) \\ m = ( 3)/( - 1) \\ m = - 3`

Answer

`\large \boxed { - 3 }`

Answer 2

`\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=(y_2-y_1)/(x_2-x_1)`

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=(-2-4)/(2-0)`
2. [Fraction] Subtract:
   `\displaystyle m=(-6)/(2)`
3. [Fraction] Divide:
   `\displaystyle m=-3`