the lines satisfying the equations x+2y=3 and 3y+ax=2 are perpendicular to each other. find the value of 'a'. please answer and explain how you got, please!!

Answer 1

slope of first line = -1/2
slope of 2nd line = -a/3

to be perpendicular, they must be negative reciprocals of each other, or, when multiplied we should get -1

(-1/2)(-a/3) = -1
a/6 = -1
a = -6