# How do you determine whether the lines for each pair of equations 3x+2y=-5 y=-2/3x+6 are parallel, perpendicular, or neither?

##### 2 Answers

The lines are not parallell, nor are they perpendicular.

#### Explanation:

First, we get the two linear equations into

If the lines were parallell, they would have the same

If the two lines are perpendicular, their

This is almost the negative reciprocal, but we're off by a minus sign, so the lines are not perpendicular.

Neither parallel nor perpendicular

#### Explanation:

Rearranging the

the other equation is,

Now,slope of both the equations are not equal,so they are not parallel lines.

Again,product of their slope is

But,for two lines to be perpendicular, product of their slope has to be

So,they are not perpendicular as well.