Answer:
y=-3/2x-3
Explanation:
For perpendicular lines,the product of their slopes is -1 this m1•m2=-1
For the given line 3y=7+2x
y=7/3+⅔x,the slope is ⅔
For the unknown line since the y-intercept is -3 then y=mx-3
compare the slopes of both lines
m•⅔=-1
m=-3/2
hence the the perpendicular line has the equation
y=-3/2x-3