# What is the slope of 7y=1/3y-x+1?

Feb 21, 2016

$\text{ slope } = - \frac{3}{20}$

#### Explanation:

To obtain the slope , rearrange the equation into the form y = mx +c.
where m represents the gradient (slope) of the line.

Firstly , multiply both sides of the equation by 3 , to eliminate the fraction.

hence : 21y = y - 3x + 3 → 20y = - 3x + 3

divide both sides by 20 to obtain slope.

$\Rightarrow \frac{\cancel{20} y}{\cancel{20}} = - \frac{3}{20} x + \frac{3}{20}$

and now the slope is the coefficient of x

$\Rightarrow \text{ slope } = - \frac{3}{20}$