An equation of the form Ax + By = C, where A and B are not both zero, is called what?
AA quadratic equation in two variables
BA linear equation in two variables
CA single-variable linear equation
DAn inequality in two variables
Answer & Solution
Correct answer: B. A linear equation in two variables
1. The definition names any equation of the form Ax + By = C, with A and B not both zero, a linear equation in two variables.
2. There is no squared or higher-power term in this form, so it is not quadratic.
3. Because it contains both x and y, it is not a single-variable equation, and it uses an equals sign rather than an inequality symbol.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.1 Use the Rectangular Coordinate System_
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