State whether each equation is a linear equation (Yes or No)?

Question

x + y = 4

x^2 = 9

7 = 2y

State Whether the following is a linear function (Thank U)

g(x) = 7

Answer 1

Hmm, tomorrow's homework is due and your too lazy to figure out the answer yourself?

Answer 2

A linear equation can be written as y = ax + b, where a and b are constants and can be zero. So rearrange your equations to find out:

x+y = 4 => y = x - 4 (here a=1, b=-4)

x^2 = 9 => x^2 - 9 = 0, (definitely not ax + b)

7 = 2y => y = 7/2 ( here a=0, b=7/2)

g(x) = 7 => let y = g(x) => y = 7 (a=0, b=7)

Answer 3

x+y=4 - is a linear equation (can be re-written in the form y=mx+b)

x^2=9 is not linear (it will turn out to be two vertical lines at x=+-3)

7=2y - is a linear equation (can be re-written in the form y=mx+b)

Function is linear - it always is a constant value, thus it is a straight line

Answer 4

x+y =4
&
7=2y
are linear eqns

Answer 5

x + y = 4
y = -x + 4

Yes, Diagonally

-------------------------

x^2 = 9
x^2 - 9 = 0

Parabola

No

--------------------

7 = 2y
y = (7/2)

Yes, Horizontally

--------------------------------

g(x) = 7

same as saying y = 7

Yes, Horizontally

Answer 6

yes

no, x = +/-3

yes

yes