If R = {(2, 1), (4, 7), (1, −2), ...},

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.

Solution:

Given:

R = {(2, 1), (4, 7), (1, −2), ...}

We can observe that

$1=3 \times 2-5$

$7=3 \times 4-5$

$-2=3 \times 1-5$

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