Write the equation of the line through (−2, −1) and perpendicular to 2y=3x−5.

Answer 1

The line 2y = 3x-5 has slope 3/2

So, any line perpendicular to it has slope -2/3

Thus, using the point-slope form of the line, our equation is

y+1 = -2/3 (x+2)

and you can massage that into whatever form you like.