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Doss [256]
4 years ago
9

Which of these functions is a linear function? y + x = 5 y + x2 = -2 y = 2x3 + 1 3x2 + y2 = -4

Mathematics
2 answers:
goldfiish [28.3K]4 years ago
7 0

Answer: First Option

y + x = 5

Step-by-step explanation:

The linear functions have the following form

ax ^ n + bx ^ m = c

Where a and b are constants and are real numbers and the exponent n and m is always equal to 1.

m=n=1

In other words, the linear equations have the form

ax + by = c

Identify among the options the functions that have this form

y + x = 5 is a linear function with a = 1, b = 1, c = 5  and  m=n=1

y + x^2 = -2 is not a linear function because n\neq 1.

y = 2x^3 + 1 is not a linear function because n\neq 1

3x^2 + y^2 = -4 is not a linear function because n\neq 1 and m\neq 1

Nookie1986 [14]4 years ago
6 0

Answer:

y + x = 5

Step-by-step explanation:

The graph of y+x=5 is a straight line

The graph of y+x^2=-2 is a parabola.

The graph of y=2x^3+1 is a non-linear curve.

The graph of

3x^2+y^2=-4 is an ellipse.

A graph of a linear function  is a straight line.

Therefore y + x = 5 is the correct choice.

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