Question

1. write the equation the represents the table.

x	y
2	12
3	9
4	6
5	3

Explanation:

Step1: Find slope (rate of change)

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 15}{2 - 1} = -3$

Step2: Find y-intercept $b$

Use $x=1, y=15$ in $y=mx+b$:
$15 = -3(1) + b$
$b = 15 + 3 = 18$

Step3: Form the linear equation

Substitute $m=-3$ and $b=18$ into $y=mx+b$

Answer:

$y = -3x + 18$