Graph the equation \( y=-x+3 \)

To graph the equation \( y = -x + 3 \), start by plotting the y-intercept at (0, 3) on the y-axis. Next, notice that the slope is -1, meaning for every one unit you move to the right on the x-axis, you move down one unit on the y-axis. From the point (0, 3), move right to (1, 2), and then to (2, 1), which gives you another point. Connect these points with a straight line, and you'll have your graph! If you're new to graphing, remember to identify key points clearly. Also, a common mistake is trying to skimp on the scale; be sure to use consistent intervals on both axes. This keeps your graph tidy and makes it easier to plot future equations accurately!