Question

what is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x+3y=15?

Answer 1

`equation \: of \: required \: line \implies`

`4x + 3y + k = 0-----(1)`

`since \: it \: passes \: through \: ( - 3,1),`

`- 12 + 3 + k = 0`

`k = 9`

`substituting \: in \: k = 9 \: in \: (1),`

we get,

`4x + 3y + 9 = 0`

`hence \: the \: equation \: of \: the \: line \implies`

`\red{ \boxed{ \bold{4x + 3y + 9 = 0}}}`