Question

The table represents a linear function. what is the slope of the function?

Answer 1

`\displaystyle m = -4`

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

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

Explanation:

Step 1: Define

Identify points from graph

Point (-4, -2)

Point (-2, -10)

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 = (-10- -2)/(-2- -4)`
2. [Fraction] Subtract:
   `\displaystyle m = (-8)/(2)`
3. [Fraction] Divide:
   `\displaystyle m = -4`

Answer 2

-4

Explanation:

Pick any two points and use the slope function

m = (y2-y1)/(x2-x1)

m = ( -26 - -2)/(2 - -4)

= (-26+2)/(2+4)

- 24/6

- 4