Question

What is the slope of the line whose equation is 3x + 6y = 9.

Answer 1

slope of
\[ax+by=c\] is
\[m=-\frac{a}{b}\]

Answer 2

It would not be 1/2 but instead -1/2

Answer 3

-1/2

Answer 4

\[3x + 6y = 9 \] \[Slope = m = -\frac{ 1 }{ 2 }\]

Answer 5

\[3x+6y = 9\]
\[6y = -3x + 9\]
\[y = \frac{ -3 }{ 6 }x + 3\]

In the slope-intercpet form: y = mx + b, m is the slope. So:

\[m = \frac{ -3 }{ 6 } = \frac{ -1 }{ 2 }\]