SOLUTION: Which line is parallel to 2x + 4y = 6? A. 4x + 6y = 8 B. 3x + 6y = -7 C. 4x + 2y = -6 D. 6x + 3y = 5

Algebra ->  Points-lines-and-rays -> SOLUTION: Which line is parallel to 2x + 4y = 6? A. 4x + 6y = 8 B. 3x + 6y = -7 C. 4x + 2y = -6 D. 6x + 3y = 5      Log On


   



Question 965577: Which line is parallel to 2x + 4y = 6?
A. 4x + 6y = 8
B. 3x + 6y = -7
C. 4x + 2y = -6
D. 6x + 3y = 5

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
2x+4y=6
4y=-2x+6
y=(-1/2)x+(3/2) Slope is (-1/2) Parallel lines have the same slope
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A.4x+6y=8
6y=-4x+8
y=(-2/3)x+(4/3) Slope is (-2/3). Not parallel.
.
B.3x+6y=-7
6y=-3x-7
y=(-1/2)x-(7/6) Slope is (-1/2) This line is parallel.
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C.4x+2y=-6
2y=-4x-6
y=-2x-3 Slope is -2. Not parallel.
.
D.6x+3y=5
3y=-6x+5
y=-2x+(5/3) Slope is -2. Not parallel.
.
ANSWER: Choice B. is correct.