Description
write the equation that describes a line perpendicular to the graph of y=2/3x -4
Explanation & Answer
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)