write a equation of a line that is perpendicular to y=-2/3-5 and goes through -4,3

the given line has slope -2/3

so your perpendicular line has slope 3/2

new line must be y = (3/2)x + b
passing through (-4,3)
3 = (3/2)(-4) + b
b = 3 + 12/2 = 9

new line: y = (3/2)x + 9