The general form of an equation for a line is
aX + bY = c.
Since perpendicular lines have different slopes and different x and y intercepts the parameters a, b, and c are different for perpendicular lines
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They are not.
The straight line equation is y = mx + b. If they do not cross and have the same slope they are parallel; if they cross and the slope (m) of one of them is the negative inverse slope of the other (-1/m) they are perpendicular. Otherwise they are neither
parellel lines mean they are to lines the same
No, lines have the same slope if and only if they are parallel to each other.
Perpendicular lines.