there are 6 terms! hope this helped
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5x + 9y = 0
to find the x int, sub in 0 for y and solve for x
5x + 9(0) = 0
5x = 0
x = 0
to find the y int, sub in 0 for x and solve for y
5(0) + 9y = 0
9y = 0
y = 0
the reason u cannot use just the intercepts is because the line goes through the origin (0,0)....The intercepts coincide giving u only 1 point...and that is not enough to graph a line
Answer:
Step-by-step explanation:


Volume = 
find partial derivatives using product rule

i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3