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

Question

asked Jul 9, 2021 69.7k views

1 Answer

Basia · Answer 1 · 2021-07-14T15:49:06+0000

Answer:

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

Explanation:

The standard form:

Ax+By=C

The slope-intercept form:

y=mx+b

- slope

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

-6x-2y=9

convert to the slope intercept form:

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