Question

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 1

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:

`m_2=-(1)/(m_1)=-(1)/((2)/(3))=-(3)/(2)`

The slopes are negative reciprocals, so they are perpendicular.

Answer: C. The lines are perpendicular.