Question

If R = {(2, 1), (4, 7), (1, −2), ...}, then write the linear relation between the components of the ordered pairs of the relation R.

Answer 1

Given:
R = {(2, 1), (4, 7), (1, −2), ...}
We can observe that
$$\begin{gathered} 1=3\times 2-5 \\ 7=3\times 4-5 \\ -2=3\times 1-5 \end{gathered}$$

Thus, the linear relation between the components of the ordered pairs of the relation R is y = 3x $-$ 5.