Answer:
[tex]y = \frac{1}{2} x + 2[/tex].
Step-by-step explanation:
From the given table it is clear that x and y are linearly related.
Now, any two points that satisfy the relation between x and y are sufficient to express the equation.
The first two given points are (2,3), and (4,4).
Therefore, the equation is [tex]\frac{y - 4}{4 - 3} = \frac{x - 4}{4 - 2}[/tex]
⇒ [tex]y - 4 = \frac{1}{2} (x - 4)[/tex]
⇒ [tex]y - 4 = \frac{1}{2} x - 2[/tex]
⇒ [tex]y = \frac{1}{2} x + 2[/tex]. (Answer)
