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4. Linear Equations in Two Variables
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Given the point $(1,\, 2)$, find the equation of a line on which it lies. How many such equations are there ?
Option A
Option B
Option C
Option D
Solution
Here $(1,\, 2)$ is a solution of a linear equation you are looking for. So, you are looking for any line passing through the point $(1,\, 2)$. One example of such a linear equation is $x + y = 3$. Others are $y -x = 1$, $y = 2x$, since they are also satisfied by the coordinates of the point $(1,\, 2)$. In fact, there are infinitely many linear equations which are satisfied by the coordinates of the point $(1,\, 2)$.
Standard 9
Mathematics
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