What is the slope of a line perpendicular to the line whose equation is y= -2/3x -5

Step-by-step explanation:

Hi there!

In the given equation, , the slope of the line is .

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The reciprocal of (which is the same as 2) is . The negative of is .

Example 2: The negative reciprocal of is .

Using this logic, we can determine that the negative reciprocal of is . Therefore, the slope of a line perpendicular to the line whose equation is would be .

I hope this helps!