A. \( y=-1.5 x+6 \) B. \( y=-1.5 x \) C. \( 2 y=-3 x+6 \) D. \( 2 y+3 x=6 \) E. \( y=-2 x+3 \)

Did you know that the equations you've listed represent lines in a two-dimensional space? Each equation can provide insight into the relationship between x and y values. For instance, these lines can help in understanding concepts like slope (the rate of change) and y-intercept (where the line crosses the y-axis). When graphing these equations, a common mistake is forgetting to rearrange them into slope-intercept form (y = mx + b) to easily identify the slope and y-intercept. Also, be aware of the signs in front of your coefficients, as they determine the direction of the line on the graph!