Wollowing line? \( 3 x+2 y=-6 \)

To find the slope of the line represented by the equation \( 3x + 2y = -6 \), you can rearrange it into the slope-intercept form, \( y = mx + b \). When you isolate \( y \), you get \( 2y = -3x - 6 \), which simplifies to \( y = -\frac{3}{2}x - 3 \). This means the slope \( m \) is \( -\frac{3}{2} \). Now that you have the slope, you can use it to interpret the line's relationship. The negative slope indicates that as \( x \) increases, \( y \) decreases. In practical terms, for every 2 units you move up on the y-axis, you are moving 3 units over to the right on the x-axis. It's a great way to visualize how variables interact in equations!