Math Problem Statement

The general form of a linear equation in two variables is Ax+By=C.

1 point

TRUE

FALSE

Solution

The statement is TRUE.

The general form of a linear equation in two variables is indeed written as Ax+By=CAx + By = C, where:

  • AA, BB, and CC are constants.
  • xx and yy are variables.

Would you like more details or have any questions?

Here are 5 related questions to expand on this information:

  1. How can you find the slope of a line from the equation Ax+By=CAx + By = C?
  2. What is the difference between the general form and slope-intercept form of a linear equation?
  3. How can you graph a linear equation given in the general form?
  4. What conditions must hold for a line to be vertical or horizontal in the general form?
  5. How do you convert the general form into the intercept form?

Tip: When solving a linear equation in general form, always check if AA or BB is zero to quickly identify vertical or horizontal lines.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Coordinate Geometry

Formulas

General form of a linear equation: Ax + By = C

Theorems

Linear Equation Properties

Suitable Grade Level

Grades 8-10