Choose an equation in slope-intercept form for the line that passes through (-12,3) and is perpendicular to the y= -(2/3)x-11.
select one:
a. y = (2/3)x - 11
b. y = (3/2)x + 21
c. y = (2/3)x - 17
d. y = (3/2)x + 3

Any line perpendicular to another line just flips the slope and then change the sign

In this one, (-2/3) has a perpendicular slope of (3/2) and one that passes through (-12,3)

3 = (3/2)(-12) + 21

3 = 3

so the answer is y = (3/2)x + 21