Question 334424
Convert the lines to slope intercept form, {{{y=mx+b}}}.
Then compare slopes.
Parallel lines have identical slopes, {{{m1=m2}}}
Perpendicular lines have slopes that are negative reciprocals, {{{m1*m2=-1}}}.
All others fall into the neither category.
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I couldn't make sense of your equations because they have two equals signs in them. ?