To solve this problem you must apply the proccedure shown below: You have that the line is <span>parallel to x+y=6, this means that both lines have the same slope. You can calculate the slope as below: y=mx+b m is the slope and b is the y-intercept
x+y=6 y=-x+6 The slope is m=-1
As the line passes through the origin, b=0, therefore, you have: y=-x+0 y=-x x+y=0