Question

-6x-2y=9 what is the slope

Answer 1

`\huge\boxed{m=-3}`

Explanation:

The standard form:

`Ax+By=C`

The slope-intercept form:

`y=mx+b`

`m` - slope

METHOD 1:

`m=-(A)/(B)\\\\-6x-2y=9\to A=-6;\ B=-2\\\\m=-(-6)/(-2)=-3`

METHOD 2:

`-6x-2y=9`

convert to the slope intercept form:

`-6x-2y=9\qquad|\txt{add}\ 6x\ \text{to the both sides}\\\\-2y=6x+9\qquad|\text{divide both sides by (-2)}\\\\y=-3x-4.5\to m=-3`