What is the slope of all lines perpendicular to the line y = (2/3) x+7

The slope is - 3/2

Step-by-step explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example: Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into - 3

Next, you make the reciprocal which makes - 3 into - 1/3

Problem: Find the line perpendicular to y = (2/3) x + 7

First, you flip the sign which makes 2/3 into - 2/3

Next, you make the reciprocal which makes - 2/3 into - 3/2

Answer: The slope is - 3/2