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Determine whether each equation is a linear equation. Write the equation in standard form.

y=x2−4

Short Answer

Expert verified

The given equation y=x2−4 is not a linear equation.

As, the given equation is not linear equation. Therefore, the given equation cannot be written in standard form of the linear equation.

Step by step solution

01

Part a. Step 1. Determine whether the given equation is a linear equation.

A linear equation is an equation that forms a line when it is graphed. Linear equations are written in the form Ax+By=C, whereA andB are not both zero and A,B andwidth="14" height="19" role="math">C are integers with greatest common factor of 1.

The given equation is y=x2−4.

As, the equationy=x2−4 cannot be written in the formAx+By=C because in the given equation y=x2−4, degree ofx is 2 while the degree ofx is 1 in the equation Ax+By=C.

Therefore, the given equationy=x2−4 is not a linear equation.

02

Part a. Step 2. Write the given equation in standard form.

As, the given equation is not linear equation. Therefore, the given equation cannot be written in standard form of the linear equation.

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