A linear equation in two variables represents a curved line on a coordinate plane.

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1 point

TRUE

FALSE

The correct answer is **FALSE**.

A linear equation in two variables represents a **straight line**, not a curved line, on a coordinate plane. The general form of a linear equation is \( ax + by = c \), where \(a\), \(b\), and \(c\) are constants, and its graph is always a straight line.

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Here are 5 related questions to expand your understanding:
1. What is the slope of a linear equation and how is it calculated?
2. How do you find the intercepts of a linear equation?
3. What is the difference between a linear and a quadratic equation?
4. Can a system of two linear equations have more than one solution?
5. What happens if both \(a\) and \(b\) are zero in the equation \(ax + by = c\)?

**Tip:** In a linear equation, the slope determines the steepness of the line, and the y-intercept indicates where the line crosses the y-axis.

A linear equation in two variables represents a curved line on a coordinate plane.

Explore whether linear equations in two variables represent curved lines or straight lines on a coordinate plane. This problem covers key concepts in algebra and coordinate geometry, focusing on the linear equation formula and the slope-intercept theorem. Suitable for students in Grades 6-8.

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