There's no such thing as parallel or perpendicular "to a point". A problem like that will always want the new line to be parallel or perpendicular to another <em><u>line</u></em>.
-- If the new line is parallel to the given line, then they have the <em><u>same</u></em> slope.
-- If the new line is perpendicular to the the given line, then the slope of the new line is [ <em><u>1 / slope of the given line</u></em> ].
In either case, you now have the slope of the new line and a point on it. From there, you should have no trouble finding its equation.
Parallel is same slope. Perpendicular is same slope but you have make it opposite and flip it. For example if your slope is 2/3. For Perpendicular it would be - 3/2.
