The equation of the perpendicular line is y= 4/3x
How to determine the line equation?
The equation is given as:
y = -3/4x + 1
The slope of the above equation is;
m = -3/4
Let the slope of the perpendicular line be n.
So, we have:
n = -1/m
This gives
n = -1/(-3/4)
Evaluate
n = 4/3
The equation of the line is then calculated as:
y = n(x - x1) + y1
This gives
y = 4/3(x - 9) + 12
Evaluate
y= 4/3x - 12 + 12
Evaluate the like terms
y= 4/3x
Hence, the equation of the perpendicular line is y= 4/3x
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