Respuesta :

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B.[tex] -\frac{2}{3} [/tex]
Hope this helps

Answer:

Slope of the red line is -2/3.

Step-by-step explanation:

We have been given that the slope of the green line is 3/2

Also it has been given that the red line and green line is perpendicular.

We know that the slopes of the perpendicular lines are negative reciprocal of each other.

Hence, the slope of red line is the  negative reciprocal of the slope of the green line.

The reciprocal of 3/2 is 2/3.

Hence, the negative reciprocal of 3/2 is -2/3.

Therefore, slope of the red line is -2/3.