Refer to the graph below.
Work Step by Step
To graph the given linear equation, look for three points that belong to the line. To find three points on the line, assign a value to one variable and then solve for the value of the other variable. When x = 0: $x+y=6 \\0+y=6 \\y=6$ The point is $(0, 6)$. When y = 0: $x+y=6 \\x+0=6 \\x=6$ The point is $(6, 0)$. When y = 3: $x+y=6 \\x+3=6 \\x=6-3 \\x=3$ The point is $(3, 3)$. Plot the three points and connect them using a straight line. (refer to the attached image in the answer part above)