The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?

Slope is - 3/2

Step-by-step explanation:

The slope of line that is perpendicular to the line should have a slope that is a negative reciprocal of this slope and multiplying both slopes give us - 1

=> The slope of this line is 2/3

=> The slope of line perpendicular to it would be - 3/2

Multiplying the two slopes:

=> (2/3) * (-3/2)

=> - 1

-3/2

Step-by-step explanation:

With perpendicular lines, the slope switches to its reciprocal and and positive/negative sign switches, i. e, the 2/3 will switch to 3/2 and since the original is positive, the new slope will be negative