The lines below are perpendicular if the slope of the green line is 3/2 what is the slope of the red line

Answer: - 2/3

Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.

To most students, perpendicular lines are simply

lines that meet at a 90 degree angle.

However, when dealing with these kinds of problems, it's important

to think about perpendicular lines in terms of their slopes.

As a rule, the slopes of two perpendicular

lines are always negative reciprocals.

So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.

So we take the fraction and flip it, then we change the sign.

So the negative reciprocal of 3/2 is - 2/3.

The perpendicular line has a slope of - 2/3

Step-by-step explanation:

Perpendicular lines have a slope that multiplies to - 1

3/2 * m = - 1

Multiply each side by 2/3

3/2 * 2/3 * m = - 1 * 2/3

m = - 2/3