Question

x | y
5 | 3
14 | 9
15 | 13
20 | 18

y =

Explanation:

Step1: Identify slope from table

Take two points, e.g., $(x_1,y_1)=(5,3)$ and $(x_2,y_2)=(11,9)$.
Slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{9-3}{11-5}=\frac{6}{6}=1$

Step2: Find y-intercept $b$

Use $y=mx+b$, substitute $m=1$, $x=5$, $y=3$:
$3=1\times5+b$
$b=3-5=-2$

Step3: Form linear equation

Combine slope and intercept into $y=mx+b$.

Answer:

$y=x-2$