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Are lines are parallel, perpendicular, or neither. 3(2-2x)=7y+5 and -6y-3x=1-10x

1 Answer

4 votes

Final answer:

The two lines are neither parallel nor perpendicular to each other.

Step-by-step explanation:

To determine if the lines are parallel, perpendicular, or neither, we need to find their slopes.

The first equation 3(2-2x)=7y+5 can be rearranged to the standard form y=mx+b, where m represents the slope.

In this case, the slope is 2/7. Similarly, the second equation -6y-3x=1-10x can be rearranged to y=(-3/6)x+(1/6), where the slope is -1/2.

Since the slopes are not equal and not negative reciprocals of each other, the two lines are neither parallel nor perpendicular to each other.

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User Enzoyang
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