To find the slope and y-intercept of the equation \(9x + 10y = 30\), we can rewrite the equation in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
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Start with the original equation: \[ 9x + 10y = 30 \]
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Solve for \(y\): \[ 10y = 30 - 9x \] \[ y = \frac{30 - 9x}{10} \] \[ y = -\frac{9}{10}x + 3 \]
Now, we can identify the slope and y-intercept:
- The slope \(m\) is \(-\frac{9}{10}\).
- The y-intercept \(b\) is \(3\).
So, for your answers:
The slope would be \(-\frac{9}{10}\).
The y-intercept would be \(3\).