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Which of the following is a characteristic of a linear equation in two variables

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Question: Which of the following is a characteristic of a linear equation in two variables?

Options:

  1. It can have multiple solutions.
  2. It can be represented as a quadratic function.
  3. It always forms a straight line when graphed.
  4. It has no solutions.

Correct Answer: It always forms a straight line when graphed.

Solution: 

A linear equation in two variables always forms a straight line when graphed.

Which of the following is a characteristic of a linear equation in two variables

Practice Questions

Q1
Which of the following is a characteristic of a linear equation in two variables?
  1. It can have multiple solutions.
  2. It can be represented as a quadratic function.
  3. It always forms a straight line when graphed.
  4. It has no solutions.

Questions & Step-by-Step Solutions

Which of the following is a characteristic of a linear equation in two variables?
  • Step 1: Understand what a linear equation is. A linear equation is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables.
  • Step 2: Recognize that a linear equation involves two variables, which are usually represented as x and y.
  • Step 3: Learn that when you graph a linear equation, you plot points that satisfy the equation on a coordinate plane.
  • Step 4: Notice that all the points you plot will form a straight line, which is the key characteristic of a linear equation in two variables.
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