To find the slope and the y-intercept of the equation \(9 + 272x = -32y\), we can rearrange the equation into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Starting with the original equation:
\[ 9 + 272x = -32y \]
First, isolate \(y\):
\[ -32y = 9 + 272x \]
Now, divide every term by \(-32\):
\[ y = -\frac{9}{32} - \frac{272}{32}x \]
Simplifying \(\frac{272}{32}\):
\[ \frac{272}{32} = 8.5 \]
So the equation becomes:
\[ y = -\frac{9}{32} - 8.5x \]
Now we can identify the slope and y-intercept:
- The slope \(m\) is \(-8.5\).
- The y-intercept \(b\) is \(-\frac{9}{32}\).
The y-intercept as an ordered pair is \((0, -\frac{9}{32})\).
So, the answers are:
The slope is \(-8.5\).
The y-intercept is \((0, -\frac{9}{32})\).
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