Hi
A line that passes through the origin and is parallel to x + y = 6.
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x + y = 6 OR y = -x + 6 |slope m = -1. Parallel lines have identical slopes
New Line:
y = -x + b |using ordered pair Pt(0,0) to solve for b
0 = 0 + b
0 = b
y = -x |written in standard from: x + y = 0