Question

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

Answer 1

Finding the two equation of lines passing through the point.

In order to give the equation of lines passing through the point $\left(2,14\right)$, the point should satisfy the equation of lines.

So, first line can be $\mathrm{y}-\mathrm{x}-12=0$

And other line can be $6\mathrm{x}-\mathrm{y}+2=0$

Since, we know that infinite number of lines can pass through a single point.

So, Infinite number of lines are there which can pass through the point $\left(2,14\right)$.

Hence, the equation of two lines passing through the given point are given above.