Point c and point d are plotted on the graph. plot points a and b to form rectangle abdc with an area of 36 square units. plot point e at (2,4).

Part A)

Part B) The plot of point E in the attached figure

Step-by-step explanation:

Part A)

we know that

The area of a rectangle is equal to

In this problem we have

substitute in the formula of area and solve for L

The figure ABCD is a square

Find the coordinates of point A

The point A will have the same x-coordinate of point D and to find the y-coordinate sum units to the y-coordinate of point D

so

Find the coordinates of point B

The point B will have the same x-coordinate of point C and to find the y-coordinate sum units to the y-coordinate of point C

so

Part B)

Plot point E at  

see the attached figure

b

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18