Question

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

Answer 1

Answer:

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