Answer:
y = (-3/4)x + b
Step-by-step explanation:
If the slope of a given line is m, then the slope of any line perpendicular to the given line is the negative reciprocal of m: -1/m.
First we need to calculate the slope of the given line, 4x - 3y = 12. Dividing all three terms by -3, we get
y = (4/3)x - 4
and note that the slope of this line is 4/3. Then the slope of any line perpendicular to this line is -3/4.
Then a general formula for a line perpendicular to 4x - 3y = 12 is
y = (-3/4)x + b, where the value of b depends upon the point on the given line through which the perpendicular ilne passes.
