Write the slope -intercept form of the equat 3x-5y=-15

## Step 1<br />The slope-intercept form of a linear equation is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y-intercept.<br /><br />## Step 2<br />The given equation is \(3x - 5y = -15\). To convert this into the slope-intercept form, we need to isolate \(y\).<br /><br />## Step 3<br />First, we add \(5y\) to both sides of the equation to get \(3x = 5y - 15\).<br /><br />## Step 4<br />Next, we divide every term by \(5\) to solve for \(y\). This gives us \(y = \frac{3}{5}x + 3\).