Question

What is the equation of the line passing through `(11,14)` and `(35,12)`?

Answer 1

`x+12y-179=0`

Explanation:

Let `(11,14)` be `(x_1,y_1)` and `(35,12)` be `(x_2,y_2)`.
The equation for a straight line passing through two points is,
`y-y_1=(y_2-y_1)/(x_2-x_1) xx( x-x_1)`
Substitute the respective values,
`y-14=(12-14)/(35-11) xx( x-11)`
`y-14=-2/24 xx( x-11)`
`y-14=-1/12 xx( x-11)`
`12(y-14)=-1 xx( x-11)`
`12y-168=-x+11`
`x+12y-179=0`

That's it.
Hope this helps :)