Question

How do you write `y+2= -3/4(x+1)` in standard form?

Answer 1

`3x+4y=-11`

Explanation:

Given:

`y+2=-3/4(x+1)`

The standard form for a linear equation is:

`Ax+By=C`

To convert `y+2=-3/4(x+1)` into standard form, first distribute the slope `-(3x)/4`.

`y+2=-(3x)/4-3/4`

Subtract `2` from both sides.

`y=-(3x)/4-3/4-2`

Multiply both sides by `4`.

`color(red)4xxy=color(black)cancel(color(red)(4))^1xx-(3x)/color(red)cancel(color(black)(4))^1-color(black)cancel(color(red)(4))^1xx3/color(red)cancel(color(black)(4))^1-4xx2`

Simplify.

`4y=-3x-3-8`

`4y=-3x-11`

Add `3x` to both sides.

`3x+4y=-11`