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The line ax + y = 8 is perpendicular to 3x + 8y = 6.
The product of the slope of two perpendicular lines is -1. Writing 3x + 8y = 6 in the slope intercept form gives `y = -(3/8)x + 6/8` . The slope of the line is `-3/8` . As ax + y = 8 is perpendicular, the slope of the line is `8/3` .
ax + y = 8
=> y = -ax + 8
=> `-a = 8/3`
=> a = `-8/3`
The value of a = `-8/3`
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