Question

x | y
0 | 0
6 | 1
12 | 2
18 | 3

y =

Explanation:

Step1: Identify slope formula

The slope $m$ of a line through points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Calculate slope using points

Use $(0,0)$ and $(6,1)$:
$m=\frac{1-0}{6-0}=\frac{1}{6}$

Step3: Find line equation

Since the line passes through $(0,0)$, the y-intercept $b=0$. The slope-intercept form is $y=mx+b$, so substitute $m=\frac{1}{6}$ and $b=0$.
$y=\frac{1}{6}x$

Answer:

$\boldsymbol{y=\frac{1}{6}x}$