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The slope of a linear equation in the form \(y = mx + b\) is represented by \(m\), where \(m\) is the coefficient of \(x\).
In the equation \(y = -\frac{2}{3}x + 5\), the coefficient of \(x\) is \(-\frac{2}{3}\).
Therefore, the slope of the line is \(-\frac{2}{3}\).
To find the slope of the equation \(y - 6 = -2x\), it's helpful to rearrange it into the slope-intercept form \(y = mx + b\), where \(m\) is the slope.
Starting with the given equation:
\[ y - 6 = -2x \]
Add 6 to both sides:
\[ y = -2x + 6 \]
Now that the equation is in slope-intercept form, we can see that the slope (\(m\)) is \(-2\).
Therefore, the slope of the line is \(-2\).
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