Give the equations of two lines passing through `(3,\ 12)dot` How many more such lines are there, and why?

Explanation

"Solution
Given point is `'(3,12)'`
⟹`'x=3,y=12'`
The lines formed can be
`x+y=3+12=15,x−y=3−12=−9`

The two lines passing through `(3,12)` are `x+y=15,x−y=−9`

Also `y=4x,5x−y=3`,⋯ lines passes through '`(3,12)`'

There are infinitely many lines passing through `'(3,12)'`. Since many lines can be drawn through a given point "