Hello from MrBillDoesMath!
Answer:
y = (-4/3)x + 8
Discussion:
The given line 4x + 3y = 12 is equivalent to
3y = 12 - 4x => (divide both sides by 3)
y = 4 - (4/3)x
slope of line = m = -(4/3)
The slope of the parallel line is the same as that of the given line so its equation is
y = (-4/3)x + b
As this line passes through the point (3, 4)
4 = (-4/3)(3) + b =>
4 = -4 + b => (adding 4 to both sides)
4 + 4 = b =>
b = 8
Hence the equation of the parallel line is y = (-4/3)x + 8
Thank you,
MrB
