. Give the equations of two lines passing through


How many more such lines are there, and why?

Best Answer

Explanation:

As per the question, the point is (2,14).

So, .x=2 and y=14

Now, form equations using the values.

First equation:

x+y=2+14=16

⇒x+y+16→(1)

Second equation:

x-y=2-14=-12

⇒x-y=-12→(2)

Third equation:

14=7×2

⇒y=7x

⇒7x-y=0→(3)

Since the number of equations is infinite, the number of lines can be infinite through the point (2,14).

It is because infinite lines can pass through a single point.

Final answer:

Hence, the equations of two lines passing through (2,14) are x+y=16 and x-y=-12.

Infinite number of such lines are there because the number of lines passing through a single point can be infinite.

 

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