In the rectangular coordinate system, lines m and n

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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 ≠ 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.

The OA is the option _D_