Question

write the linear equation that gives the rule for this table.

x | y
0 | 0
1 | 13
2 | 26
3 | 39

write your answer as an equation with y first, followed by an equals sign.
y=

Explanation:

Step1: Identify slope formula

The slope $m$ of a linear equation $y=mx+b$ is calculated as $m=\frac{y_2-y_1}{x_2-x_1}$ using two points $(x_1,y_1)$ and $(x_2,y_2)$.

Step2: Calculate slope with points

Use $(0,0)$ and $(1,13)$:
$m=\frac{13-0}{1-0}=13$

Step3: Find y-intercept $b$

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

Step4: Form linear equation

Substitute $m=13$ and $b=0$ into $y=mx+b$.

Answer:

$y=13x$