Find the slope of a line parallel to the following: 15) 3x-2y=-2 -3/2 -2/3 +3/2 1

## Step 1: <br />To find the slope of a line parallel to the given line, we need to first find the slope of the given line. <br /><br />## Step 2:<br />The equation of the given line is in the form \(Ax + By = C\). We can rewrite it in the slope-intercept form \(y = mx + b\), where \(m\) is the slope.<br /><br />## Step 3:<br />Rewriting the equation \(3x - 2y = -2\) in slope-intercept form, we get:<br />\[ -2y = -3x - 2 \]<br />\[ y = \frac{3}{2}x + 1 \]<br /><br />## Step 4:<br />From the equation \(y = \frac{3}{2}x + 1\), we can see that the slope of the given line is \(\frac{3}{2}\).<br /><br />## Step 5:<br />Since parallel lines have the same slope, the slope of a line parallel to the given line is also \(\frac{3}{2}\).