Question

Identify the linear equation.
A)y = lxl+5
B)y=1/2x+3
C)y=x^2-4
D)y=3/4x^2

Answer 1

To have a linear equation, the variables must be just alone or multiplied by numbers.

If you see any of these things, the equation is not linear:
a variable raised to a power
a variable that is a power
a variable in the denominator
a variable in a root
a product of variables
the absolute value of a variable or a variable expression
logarithm of a variable

Answer 2

so the answer is c?

Answer 3

@mathstudent55

Answer 4

Notice that in C there is x^2. x^2 means \(x^2\).
x^2 is a variable, x, raised to a power, 2, so that cannot be linear.

Answer 5

so b right

Answer 6

@mathstudent55

Answer 7

Yes.
I assume that B means

\(y = \dfrac{1}{2} x + 3\)

where x is not part of the denominator.

Then B is the answer.
Notice that x is just multiplied by a number, 1/2, and y is just alone. Both of those indications make it a linear equation.

Answer 8

thank you

Answer 9

You're welcome.