How do you write the equation y+6=3/2(x-4) in standard form?

Apr 22, 2017

$y = \frac{3}{2} x - 12$

Explanation:

Standard form is $y = a {x}^{2} + b x + c$, so our first job is to let $y$ be the only value on the side of the equal sign:

$y + 6 = \frac{3}{2} \left(x - 4\right)$

subtract $6$ on both sides

$y = \frac{3}{2} \left(x - 4\right) - 6$

Now distribute the $\frac{3}{2}$

$y = \frac{3}{2} x - 6 - 6$

combine like-terms

$y = \frac{3}{2} x - 12$