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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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A linear equation ?

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

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.

y = 2x + 1 IS a linear equation!

No it's a cubic 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.

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Yes, y = 4x + 7 is a linear equation.

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It's a linear equation.

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That is called slope - intercept form

A linear equation.

Yes, the equation has a slope of 0.

Assuming that the 2 in "5x2" is a power (5x2), then no, this is not a linear equation. It is a parabolic equation.

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.

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