write the equation that describes a line perpendicular to the graph of y=2/3x -4

Given Line: y=2/3x -4

Slope of the given line= 2/3

We know the slope of the line perpendicular to the given line = -1 /(2/3) = -3/2

General equation of the line : y=mx+c where m is the slop and c is the constant

So equation of line perpendicular to the given line would be :

y=(-3/2)x+c

Here constant c does have any restriction, so it can have any value. Like if we take c=0, equation would be

y=(-3/2)x (Answer)

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