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Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.

−4y+6=2

Short Answer

Expert verified

Yes, the given equation−4y+6=2 is a linear equation and the given equation−4y+6=2 in standard form is y=1.

Step by step solution

01

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, where A and B are not both zero and A, B and C are integers with greatest common factor of 1.

The given equation is −4y+6=2.

The given equation can be written as:

−4y+6=2−4y=2−6−4y=−4y=−4−4y=1

Therefore, by comparing the given equation y=1with the equation Ax+By=C, it can be noticed that: A=0,B=1and C=1.

As, the equation−4y+6=2 can be written in the form Ax+By=C.

Therefore, yes, the given equation−4y+6=2is a linear equation.

02

Step 2. Write the given equation in standard form.

The given equation is −4y+6=2.

The standard form of the linear equation is Ax+By=C.

The given equation in standard form is y=1.

Where, A=0,B=1and C=1.

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