Question

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.

I understand the answer is x + y = 0
I want to understand how that is determined. Using point slope form and all that.,

Answer 1

ax+by=c
a=1
b=1
slope= -a/b=-1
y=mx+b
y=-x+b
b=0
x+y=0