Write an equation for the line perpendicular to y=2x 4 that contains (3, -2)?

In the equation y = 2x + 4, you know that the gradient is 2 (the number before x).

for a perpendicular line you need the negative reciprocal of 2, which is -  .

you then need to use the equation
y -  = m(x -  )

substitute in your coordinates:

y - -2 = -  (x - 3)

simplify:
y + 2 = -0.5x + 1.5

rearrange:

y = -  - 

A square  is a square  a trapezoid is a lot weirder