Question

What is the equation of the function shown in the graph provided? y= _ x + _

Answer 1

Answer:

y = -3x - 6

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

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

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from graph.

x-intercept (-2, 0)

y-intercept (0, -6)

Step 2: Find slope m

1. Substitute:                  $m=\frac{-6-0}{0+2}$
2. Subtract/Add:             $m=\frac{-6}{2}$
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