Ф = 3π/4. Transform it into Rectangular (or Cartesian) form .
The coordinates of Ф are x ,y in rectangular form ==> so:
tan(Ф) = y/x and y=x . tan(Ф) ==> y= x. tan(3π/4). we know that tan(3π/4)= - 1
Hence y = - x
Coordinates of C ( 3, - 2 ). After the rotation for 90° clockwise new coordinates would be C ` ( - 2, - 3 ).
Answer:
B ) ( x , y ) → ( y, -x ) ; C`( -2, - 3 )
8.9-3.3j=-2.2j+2.3
add 3.3j to both sides
8.9=1.1j+2.3
subtract 2.3 from both sides
6.6=1.1j
divide both sides by 1.1
6=j
Y=3x-4
Because your slope is 3 when you do change in y over change in x. Y intercept is neg 4.