Give equations of two lines passing through (2, ,14) . How many more such lines are there, and why ?

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4. Linear Equations in Two Variables

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Give the equations of two lines passing through $(2, \,14)$. How many more such lines are there, and why ?

Option A

Option B

Option C

Option D

Solution

$(2,\,14)$ means $x=2$ and $y=14$

Following equations can have $(2,\,14)$ as the solution, i.e. they can pass through the point $(2,\,14)$

$(i)$ $x+y=16$

$(ii)$ $7 x-y=0$

There can be an unlimited number of lines which can pass through the point $(2,\,14)$ because an unlimited number of lines can pass through a point.

Standard 9

Mathematics

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