To find the slope and y-intercept of the equation \(-6x + 3y = 60\), we first need to rewrite it in slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept).
Starting with the equation:
\[ -6x + 3y = 60 \]
We can isolate \(y\) by adding \(6x\) to both sides:
\[ 3y = 6x + 60 \]
Next, we divide the entire equation by \(3\) to solve for \(y\):
\[ y = 2x + 20 \]
In this form, we can see:
- The slope (\(m\)) is \(2\).
- The y-intercept (\(b\)) is \(20\).
Therefore:
- The slope would be 2.
- The y-intercept would be 20.