SOLUTION: Could you please help me solve this problem. I am confused. The following equation is given in standard form Ax+By=C. Identify A,B and the slope of this line. 2x+3y=9 I am

Algebra ->  Linear-equations -> SOLUTION: Could you please help me solve this problem. I am confused. The following equation is given in standard form Ax+By=C. Identify A,B and the slope of this line. 2x+3y=9 I am      Log On


   

Question 164058This question is from textbook
: Could you please help me solve this problem. I am confused.
The following equation is given in standard form Ax+By=C. Identify A,B and the slope of this line.
2x+3y=9
I am confused on what steps to take to solve the problem.
Thank you
Cathy This question is from textbook

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form:
Ax+By=C
Your equation:
2x+3y=9
.
Direct mapping of the standard form to the given equation gives:
A = 2
B = 3
C = 9
.
Now, to fine the slope. Reorder the "standard form" into the "slope-intercept" form:
y = mx + b
where
m is slope
b is y-intercept at (0,b)
.
Starting with:
Ax+By=C
Solve for y:
Ax+By=C
Subtract Ax from both sides:
By= -Ax + C
Divide both sides by B:
y = (-A/B)x + C/B
We "see" that the slope (m) is (-A/B)
.
Remembering that we had:
A = 2
B = 3
C = 9
.
Now we substitute it into:
slope (m) = (-A/B)
slope (m) = (-2/3)