y = (5/3)x - 7
this is in the form y = mx + b where m equals to: 5/3
any line perpendicular to this given line will have the slope of -1/m
so, in this case slope of perpendicular is: -1/(5/3) = -3/5
we know the y-intercept is -7, point (0, -7)
y = -(3/5)x - 7
The above is already the perpendicular line to y = (5/3)x - 7.