Graph the line. \[ x+y=3 \]

To graph the line defined by the equation \( x + y = 3 \), you can start by finding two points that satisfy the equation. A fun way is to let \( x = 0 \); then \( y = 3 \), giving you the point \( (0, 3) \). Now, try \( y = 0 \); then \( x = 3 \), giving you the point \( (3, 0) \). Plot these two points on the coordinate plane and draw a straight line through them. Voilà, you have your graph! Now, if you want to ensure the line is accurate, remember the slope-intercept form \( y = mx + b \). Rearranging your original equation gives \( y = -x + 3 \), where the slope \( m \) is -1 and the y-intercept \( b \) is 3. This tells you the line decreases one unit in y for every increase of one unit in x, giving you a clear visual step as you graph it!