UseEquationY=2/3x-3y=-3/2x+2Which statement about the lines is true?A. The lines are the same.B. The lines are parallel.C. The lines are perpendicular.D. The lines intersect but are not perpendicular,



Answer :

The lines are not the same as thehy have different slope and y-intercept.

As the slopes are different, they are not parallel.

If the slopes are negative reciprocals, the lines are perpendicular.

We can test it by:

[tex]m_2=-\frac{1}{m_1}=-\frac{1}{\frac{2}{3}}=-\frac{3}{2}[/tex]

The slopes are negative reciprocals, so they are perpendicular.

Answer: C. The lines are perpendicular.