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The slope of line perpendicular to line 3x - 6y = 90 is -2.
Slope-Intercept form of equation => y = mx + c
Slope = m
Given equation,
3x - 6y = 90
x - 2y = 30
2y = x - 30
y = x/2 - 15
y = (1/2)x + (-15)
Here, slope = m1
= 1/2
For line perpendicular slope will be negative reciprocal of the slope of given line.
Therefore, slope of other line = m2
= -1/m1
= -2
Hence, slope of line perpendicular to line 3x - 6y = 90 is -2.
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