# How do you write y-5=3/2(x+4)  in standard form?

May 27, 2015

Standard form for a linear equation is (normally)
$A x + B y = C$ with $A \ge 0 \mathmr{and} A \epsilon \mathbb{Z}$

Given $y - 5 = \frac{3}{2} \left(x + 4\right)$

$\rightarrow 2 y - 10 = 3 x + 12$

$\rightarrow - 3 x + 2 y = 22$

$\rightarrow 3 x - 2 y = - 22$

which is in "standard form"