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Iteru [2.4K]
3 years ago
6

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

Given:

The slope of a line is -\dfrac{3}{4}.

To find:

The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.

Solution:

We know that the slopes of parallel lines are equal.

The slope of line Q and the slope of given line are same, i.e., -\dfrac{3}{4}. So, the line Q is parallel to the given line.

The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.

The slope of a line is -\dfrac{3}{4}. It means the slope of the perpendicular line must be \dfrac{4}{3}. So, the line N is perpendicular to the given line.

The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.

Therefore, the lines M and P are neither parallel nor perpendicular.

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