Convert the equation \( y = 2x + 3 \) into standard form.

To convert the equation \( y = 2x + 3 \) into standard form, we rearrange it to get all terms involving \( x \) and \( y \) on one side. Start by subtracting \( 2x \) from both sides, which gives you \( -2x + y = 3 \). Then, to follow the standard form convention of \( Ax + By = C \), we can multiply everything by -1, leading to \( 2x - y = -3 \). And there you have it, standard form achieved! This transformation is handy because it allows you to quickly identify intercepts and facilitate solving systems of equations. For instance, if you need to find where this line crosses the axes, just set \( y = 0 \) for the x-intercept and \( x = 0 \) for the y-intercept. It’s a great way to visualize the line's behavior on a graph!