Write the equation of the line, in standard form, that passes through the origin and is parallel to x+y=6. include your work in your final answer.

To solve this problem you must apply the proccedure shown below:

You have that the line is 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

The answer is: x+y=0