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Question 450142: I would like to know how to determine if the 2 lines are parallel, perpendicular or neither, how do I apply the formula, I always forget;
4x+8y=16
3x+6y=7
Found 3 solutions by ewatrrr, Alan3354, poliphob3.14:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
parallel (lines slant in same direction):Slopes identical
perpendicular: Slopes are negative reciprocals of one another
Neither: slopes do not satisfy either of the above:
4x+8y=16 OR y = (-1/2)x + 2 m = -1/2
3x+6y=7 OR y = (-1/2)x + 7/6 m = -1/2
These lines are Parallel, their slopes are identical
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! I would like to know how to determine if the 2 lines are parallel, perpendicular or neither, how do I apply the formula, I always forget;
4x+8y=16
3x+6y=7
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Solve for y
4x+8y=16
y = (-1/2)x + something
Slope = -1/2
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3x+6y=7
y = (-1/2)x + something
Slope = -1/2
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The slopes are equal, -1/2, so they're parallel.
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PS The "somethings" are the y-intercepts. They're not relevant in finding the slopes, but if they're equal, then it's the same line.
That's called the slope-intercept form, y = mx + b
Answer by poliphob3.14(115)  (Show Source):
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