Question

1. write the equation the represents the table.

x | y
-2 | 0
-1 | 6
0 | 12
1 | 18
2 | 24

Explanation:

Step1: Identify slope (rate of change)

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 0}{-1 - (-2)} = \frac{6}{1} = 6$

Step2: Find y-intercept (b)

When $x=0$, $y=12$, so $b=12$.

Step3: Write linear equation

Use $y = mx + b$

Answer:

$y = 6x + 12$