determine whether each equation is linear and if it is put it in stanard form: 9y=4x-18, xy=4 and?

Question

x^2-4=y

Answer 1

linear is 9y = 4x -18
std from 4x - 9y = 18

xy is not linear (it is a reciprocal function)

Answer 2

xy=4 is not linear. The others are: Just divide or multiply if necessary, so that the coefficient of y is one. Then write the equation out for x with the highest power first, the next-highest after, etc. down to the constant. Don't sweat missing powers.

Answer 3

First, they should be put into standard form

9y = 4x-18 :: y = (4/9)x - 2
Since y is directly proportional to x, this will be linear.

xy = 4 :: y = 4/x
Since y is inversely proportional to x, this will not be linear.
The graph will curve down from zero to infinity from x = -[inf] to x = 0 and then the graph will curve down from infinity to zero from x = 0 to x = [inf]

x^2 - 4 = y :: y = x^2 - 4
This will form a parabola that's shifted down four units, so it will most certainly not be linear.

Answer 4

There is only one linear -4x+9y=-18
y=4/x
(x+2)(x-2)=y is quadratic

Answer 5

9y=4x - 18 is linear, but not standard.
xy = 4 is linear and standard.
x^2 - 4 = y is neither linear nor standard.

Answer 6

Only the first equation is linear. The other two are hyberbolic and parabolic, respectively.

Standard form for the linear equation is:

y=mx+b

Answer 7

1. linear. I think standard form is Ax+By=C so that would be 4x - 9y = 18
2. nonlinear (hyperbolic)
3. nonlinear (parabolic)

Answer 8

1)9y=4x-18
It's linear!
4x-9y=18

2)not linear

3)not linear