Question

linear or nonlinear??
y=2x−9
y=−10.2
y=3x^2+7
3x + 5y = 15

Answer 1

Linear equations are first degree equations, which means that x is only raised to the first power.  Nonlinear equations are second-degree equations, third-degree equations, fourth degree, etc., that have x raised to the second, third, etc., power.  So in order to tell if it is linear or not, you just have to see if x is raised to a power or not.

1. Linear, since x is to the first power
2. Linear, since it will just form a line since y will always equal the same value.
3. Nonlinear, since x is raised to the second power, and will, therefore, create a parabola.
4. Linear, since x is once again raised to the third power.

Answer 2

The linear equations are; y = 2x -9, y=−10.2, and 3x + 5y = 15 while the equation; y = 3x² +7 is non-linear.

Linear equations are equations characterized by degree 1.

The lines y = 2x -9, y=−10.2, and 3x + 5y = 15 are linear equations because. This is so because they are of degree 1.

However, the equation y = 3x² +7 is non-linear and most specifically, it is quadratic.

This is so because the equation, y = 3x² +7 is of degree two and is therefore, non-linear.

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