Final answer:
To graph the equation x + 3y = 3, rewrite it in slope-intercept form and plot the y-intercept and a second point using the slope.
Step-by-step explanation:
To graph the equation x + 3y = 3, we need to rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, let's solve for y:
x + 3y = 3
3y = -x + 3
y = (-1/3)x + 1
Now we can plot the y-intercept, which is 1, and use the slope to find a second point. The slope is -1/3, which means for every 3 units we move to the right, we move 1 unit down. By plotting these two points and drawing a line through them, we have graphed the equation.
Learn more about graphing linear equations