Perpendicular means that the slope is exact opposite
so if the slope is 2/3 then on the perpendicular line it'll be 3/2
y = 3/2x + b
to solve for b, plug in the given coordinate
2 = 3/2 (4) + b
2 = 6 + b
subtract 6 from both sides
-4 = b
the equation for the line that passes perpendicular to y = 2/3x + 5 is:
y = 3/2x - 4
Hope this helps :)
