what is the slope of y=-\frac{2}{3}x+5

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 \(-2\).