slope of the line whose equation is 6x-3y=12, need the help plez

Question

hw for alegebra 2 

Answer 1

The problem gives the equation of the line in Standard Form (Ax+By=C).

 

The slope, often called "rise over run," is the "m" in the slope-intercept form of the equation of a line:  y=mx+b

 

Now, if you [once and forever] convert Ax+By=B into y=mx+b, you will find that m=(-A/B).  But, if you insist on doing it for each problem forever, you may.

 

The slope, m=(-A/B) = (-6/(-3)) = 2.

 

And, doing that for each equation, you get:

    6x-3y=12

    -3y = -6x + 12

       y = ((-6)/(-3))x + 12

       y = 2x + 12

       y = mx + b

             m = 2