Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 3 x-y=-6 \]

To convert the equation \( 3x - y = -6 \) into slope-intercept form (y = mx + b), we first isolate \( y \). Start by adding \( y \) to both sides and then adding 6 to both sides: \[ y = 3x + 6 \] Now we have the equation in slope-intercept form, where the slope \( m = 3 \) and the y-intercept \( b = 6 \). Remember, slope-intercept form makes it easy to graph the line! Simply start at the y-intercept (0, 6) on the y-axis and use the slope (rise over run) to plot additional points. For every 1 unit you move to the right (the run), move up 3 units (the rise) to find the next points on the line.