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Q: Why is an equation written in the form Ax plus By equals c called a linear equation?

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It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.

A linear equation has no higher powers than 1. This is linear.

y = 2x + 1 IS a linear equation!

It is not. It is called a LINEAR equation. This is because the word linear refers to a line and, if the solutions of the equation, in the form of ordered pairs (x,y), were plotted on a Cartesian plane, they would all lie on a straight line.

That is called slope - intercept form

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A linear equation ?

It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.

A linear equation has no higher powers than 1. This is linear.

y = 2x + 1 IS a linear equation!

It is not. It is called a LINEAR equation. This is because the word linear refers to a line and, if the solutions of the equation, in the form of ordered pairs (x,y), were plotted on a Cartesian plane, they would all lie on a straight line.

-1

That is called slope - intercept form

Yes.

Yes.

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yes

Yes.

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