Answer: First Option
[tex]y + x = 5[/tex]
Step-by-step explanation:
The linear functions have the following form
[tex]ax ^ n + bx ^ m = c[/tex]
Where a and b are constants and are real numbers and the exponent n and m is always equal to 1.
[tex]m=n=1[/tex]
In other words, the linear equations have the form
[tex]ax + by = c[/tex]
Identify among the options the functions that have this form
[tex]y + x = 5[/tex] is a linear function with [tex]a = 1[/tex], [tex]b = 1[/tex], [tex]c = 5[/tex] and [tex]m=n=1[/tex]
[tex]y + x^2 = -2[/tex] is not a linear function because [tex]n\neq 1[/tex].
[tex]y = 2x^3 + 1[/tex] is not a linear function because [tex]n\neq 1[/tex]
[tex]3x^2 + y^2 = -4[/tex] is not a linear function because [tex]n\neq 1[/tex] and [tex]m\neq 1[/tex]
