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10 votes
10 votes
Y = 2/3x- 3Y= -3/2x+2Which statement about the lines is true?

User Jaydp
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1 Answer

12 votes
12 votes

Answer:

The correct answer is C.

Explanation:

They are not the same lines, since they have different equations.

The equation of a line has the following format: y = ax + b

They are parallel if they have the same values of a.

In this question, y has a = 2/3 and Y has a = -3/2, which are different, so they are not parallel.

The lines are perpendicular if their slopes are reciprocals, that is, if the multiplication of their slopes is -1.

Slope = a

So

Slope of y = 2/3

Slope of Y = -3/2

(2/3)*(-3/2) = -1.

They are reciprocals, so perpendicular.

The correct answer is C.

User Jack Brown
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2.9k points