Question

What is the equation of the function shown in the graph provided?

y= _ x + _

Answer 1

y = -3x - 6

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

Explanation:

Step 1: Define

Find points from graph.

x-intercept (-2, 0)

y-intercept (0, -6)

Step 2: Find slope m

1. Substitute:
   `m=(-6-0)/(0+2)`
2. Subtract/Add:
   `m=(-6)/(2)`
3. Divide:
   `m=-3`

Step 3: Redefine

Slope m = -3

y-intercept b = -6

Step 4: Write linear equation

Slope-Intercept Form: y = -3x - 6