Is 2x + y =5 linear or nonlinear? Please explain

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03-11-2022
Mathematics

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Is 2x + y =5 linear or nonlinear? Please explain

Sagot :

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AhnnaP189431 AhnnaP189431 · Answer 1 · 2022-11-03T22:33:12-04:00

A generic line function is based on this format:

[tex]y\text{ = ax + b}[/tex]

In this case, 2x + y = 5 we have to isolate 'y' to fill the format above:

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

a = -2 and b = 5. So that is a linear function. I will show to you other examples that are not linear:

[tex]y=x^2+2x-4^{}[/tex][tex]y\text{ = }\log _{10}(x)[/tex][tex]y=\sqrt[]{x}[/tex]

These are not linear functions because they are not in the y = mx + b format! m and b can be any real number. If m is equal to zero, the function will be constant! Otherwise, if b is equal to zero, the function will be linear.

Sagot :

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