Andy C. answered • 11/19/17

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-3x - 9y = 8

-9y = 8 + 3x

y = -9/8 + -1/3X

THe slope of the given line is M = -1/3

The intercept of the given line is -9/8

Perpendicular lines have slopes that are NEGATIVE RECIPROCALS.

The slope of the perpendicular line is 3/1 = 3

The y-intercept is the same: -9/8

The equation of the perpendicular line is y = 3x + -9/8 = 3x - 9/8