Question

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

Answer 1

Answer:

$\displaystyle m = -4$

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

Step-by-step 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]:                                                              $\displaystyle m = \frac{-10- -2}{-2- -4}$
2. [Fraction] Subtract:                                                                                           $\displaystyle m = \frac{-8}{2}$
3. [Fraction] Divide:                                                                                               $\displaystyle m = -4$

Answer 2

Answer:

-4

Step-by-step 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