In the rectangular coordinate system, lines \(m\) and \(n\) intersect at the origin. Is line \(m\) perpendicular to line \(n?\)
(1) Line \(n\) passes through the point \( (-a, -a) \), where \(a\ne 0\), and line \(m\) has a slope of \(-1\).
(2) The product of the slope of line \(m\) and the slope of line \(n\) is \(-1\).
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
(1) Line \(n\) passes through the point \( (-a, -a) \), where \(a\ne 0\), and line \(m\) has a slope of \(-1\).
(2) The product of the slope of line \(m\) and the slope of line \(n\) is \(-1\).
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
