Question

Y-5=3/2 (x+4) in standard form

Answer 1

3x - 2y = -22

Explanation:

The standard form of an equation of a line:

`Ax+By=C`

Convert:

`y-5=(3)/(2)(x+4)` multiply both sides by 2

`2y-(2)(5)=2\!\!\!\!\diagup^1\cdot(3)/(2\!\!\!\!\diagup_1)(x+4)`

`2y-10=3(x+4)` use the distributive property: a(b + c) = ab + ac

`2y-10=(3)(x)+(3)(4)`

`2y-10=3x+12` add 10 to both sides

`2y-10+10=3x+12+10`

`2y=3x+22` subtract 3x from both sides

`-3x+2y=3x-3x+22`

`-3x+2y=22` change the signs

`3x-2y=-22`