# What is the slope intercept form of the line passing through (4,-2)  with a slope of -1/3 ?

Dec 12, 2015

$y = - \frac{1}{3} x - \frac{2}{3}$

#### Explanation:

The slope intercept form is

$y = m x + b$

Where m is the slope and b is the y intercept
So you what m is because you are given the slope

$m = - \frac{1}{3}$

So put that into the equation

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

Now substitute the point you were given (4,-2)

$- 2 = - \frac{1}{3} \left(4\right) + b$

Solve for b

$- 2 = - \frac{4}{3} + b$

$- 2 + \frac{4}{3} = b$

$b = - \frac{6}{3} + \frac{4}{3}$

$b = - \frac{2}{3}$

Now put the b into the formula

$y = - \frac{1}{3} x - \frac{2}{3}$