Question

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

Answer 1

Here, $x=2$ and $y=14.$
Thus, $x-y=-12orx-y+12=0$ [Taking random equations passing through the point]
also, $y=7x\Rightarrow y-7x=0$
$\therefore$ The equations of two lines passing through $(2,14)$ are;
$x-y=-12andy-7x=0.$
There will be infinite such lines because, infinite number of lines can pass through a given point.