Find the equation of the line in slope-intercept form with the given slope and \( y^{-} \) intercept. Use \( x \) as the independent variable.

To write the equation of a line in slope-intercept form, you'll use the format \( y = mx + b \), where \( m \) represents the slope and \( b \) represents the \( y \)-intercept. For example, if you have a slope of 2 and a \( y \)-intercept of -3, you'd plug those values into the equation to get \( y = 2x - 3 \). When you determine your slope, remember that a positive slope indicates the line rises as you move along the x-axis, while a negative slope means it falls. Likewise, the \( y \)-intercept is the point where the line crosses the y-axis — visualize it! If the \( y \)-intercept is negative, the line will start below the origin.