How do you find the slope given y+3=-1/3x?

Mar 22, 2016

The slope is $- \frac{1}{3}$

Explanation:

Your equation may be rewritten into what we call the slope/intercept form: $y = m x + b$ where $m$ represents the slope of the equation.

$y + 3 = - \frac{1}{3} x$ Subtract 33# from both sides of the equation

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

$y = - \frac{1}{3} x - 3$ Now compare this equation to the slope/intercept form $y = m x + b$, and we easily see that the slope $m = - \frac{1}{3}$

As a bonus, we can also see that the y-intercept of the equation is $b = - 3$