How do you write the equation y-2=1/3(x+5) in slope intercept and standard form?

Mar 4, 2016

$y = \frac{1}{3} x + \frac{15}{3}$

Explanation:

Given:$\textcolor{b r o w n}{\text{ } y - 2 = \frac{1}{3} \left(x + 5\right)}$

Add $\textcolor{b l u e}{2}$ to both sides

$\textcolor{b r o w n}{y - 2 \textcolor{b l u e}{+ 2} = \frac{1}{3} \left(x + 5\right) \textcolor{b l u e}{+ 2}}$

Multiply out the bracket

$y + 0 = \frac{1}{3} x + \frac{5}{3} + 2$

$y = \frac{1}{3} x + \frac{15}{3}$