Question 164058
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)