If A = 0 in a linear equation of the form Ax + By = C, then which statement is also true?

A. The graph of this equation is a horizontal line. B. The graph of this equation is a vertical line. C. The graph of this equation is a slanted line. D. The graph of this equation can be any straight line.

A linear equation is defined as a equation that has either one or two variables without exponents. A linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

For the given situation,

The general form of a linear equation is Ax + By = C,

where A, B, C are constants.

If A = 0 in a linear equation, then the equation becomes

⇒ [tex](0)x+By=C[/tex]

⇒ [tex]By=C[/tex]

Let us assume any values such as B = 2, C = 4, then the equation becomes,

⇒ [tex]2y=4[/tex]

⇒ [tex]y=2[/tex]

The graph below shows the equation of line when A = 0.

Hence we can conclude that option (A) the graph of this equation is a horizontal line is the correct answer.

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If A = 0 in a linear equation of the form Ax + By = C, then which statement is also true? A. The graph of this equation is a horizontal line. B. The graph of this equation is a vertical line. C. The graph of this equation is a slanted line. D. The graph of this equation can be any straight line.

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What is a linear equation?

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If A = 0 in a linear equation of the form Ax + By = C, then which statement is also true?

A. The graph of this equation is a horizontal line. B. The graph of this equation is a vertical line. C. The graph of this equation is a slanted line. D. The graph of this equation can be any straight line.