Question

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

Answer 1

Answer:

3x - 2y = -22

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

Convert:

$y-5=\dfrac{3}{2}(x+4)$       multiply both sides by 2

$2y-(2)(5)=2\!\!\!\!\diagup^1\cdot\dfrac{3}{2\!\!\!\!\diagup_1}(x+4)$

$2y-10=3(x+4)$         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

$3x-2y=-22$