Q. 23.7( 179 Votes )

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

Answer :

Here,

x = 2 and y = 14

Hence,

x + y = 16

Also,

y = 7x

y – 7x = 0

Therefore,

The equations of two lines passing through (2, 14) are:

x + y = 16

And,

y – 7x = 0

**There would be infinite such lines because infinite number of lines can pass through a given point.****We can also see this graphically:**

From a single point there can be infinite number of lines that can pass.

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