What is the slope of a line that is perpendicular to the line 2y – 3x = 8?

a. -3
b.-2/3
c.3/2
d.1/3

B. -2/3

Step-by-step explanation:

We are given a equation of line:

   2y-3x=8

   y=

Hence, slope of this line=3/2

(since, slope of line y=mx+c is m)

Now if two lines are perpendicular with sl,opes m1 and m2 then,

m1×m2=-1

Hence, slope of line perpendicular to the l;ine 2y-3x=8 is:

 B. -2/3