Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The standard form:

$Ax+By=C$

The slope-intercept form:

$y=mx+b$

$m$ - slope

METHOD 1:

$m=-\dfrac{A}{B}\\\\-6x-2y=9\to A=-6;\ B=-2\\\\m=-\dfrac{-6}{-2}=-3$

METHOD 2:

$-6x-2y=9$

convert to the slope intercept form:

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