Question

Two quantities are related, as shown in the table:

Answer 1

Answer:

$y = \frac{1}{2} x + 2$.

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 $\frac{y - 4}{4 - 3} = \frac{x - 4}{4 - 2}$

⇒ $y - 4 = \frac{1}{2} (x - 4)$

⇒ $y - 4 = \frac{1}{2} x - 2$

⇒ $y = \frac{1}{2} x + 2$. (Answer)