Are the two lines parallel, perpendicular, or neither? explain your answer. show work needed to answer the question.

3x+7y=15
7c-3y=6

For this case we have the following line equations:

We manipulate the equations algebraically until we write them in the slope-intersection form,

Equation 1:

Equation 2:

By definition we have:

If two lines are parallel then their slopes are equal.

If two lines are perpendicular then the product of their slopes is -1.

It is noted that the slopes are not equal. We check if the product is -1:

Thus, the lines are perpendicular.

The lines are perpendicular

step-by-step explanation:

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