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Answer:

Linear function

[tex]y = \frac{x}{2} - 5[/tex]

Step-by-step explanation:

[tex]y = \frac{x}{2} - 5[/tex]

Linear function

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.

[tex]y = \frac{2}{x} + 3[/tex]

Not linear function

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1

, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

[tex]y = {2}^{x} - 1[/tex]

Not linear function

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

[tex]y = {x}^{2} + 7[/tex]

Not linear function

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.

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