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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.
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