What is the slope of the line that has equation 6x + 3y = −15?

To identify the slope, put the equation in y = mx + b form by solving for y.
6x + 3y = −15
6x + 3y − 6x = −15− 6x
3y = −6x −15
\( \frac{\mathrm{3y} }{\mathrm{3}} = \frac{\mathrm{-6x-15} }{\mathrm{3}} \)
y= −2x – 5
The slope is –2, the coefficient of x