To find the slope and the y-intercept of the equation \(9 + 272x = -32y\), we need to rearrange it into slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Starting with the given equation: \[ 9 + 272x = -32y \]
We can isolate \(y\) by first subtracting \(9 + 272x\) from both sides: \[ -32y = -272x - 9 \]
Next, divide every term by \(-32\) to solve for \(y\): \[ y = \frac{272}{32}x + \frac{9}{32} \] \[ y = 8.5x + \frac{9}{32} \]
Now we can identify the slope and the 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 final answers are:
- The slope is \(8.5\).
- The y-intercept is \((0, \frac{9}{32})\).
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