Determine wether or not the following lines are parallel
A. Y+2x=1 and -2x+3=y
B.y/3+x+5=0and 2y+6x=1
A. Y = -2x+1, and Y = -2x+3.
m1 = m2 = -2.
The lines are parallel, because their slopes are equal.
B. x+y/3+5 = 0, and 2y+6x = 1
x+y/3=-5, and 6x+2y = 1.
3x+y = -15, and 6x+2y = 1
m1 = -A/B = -3/1 = -3
m2 = -6/2 = -3
The slopes are equal; therefore, the lines are parallel.