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Questions and Answers
What is the definition of a linear equation?
What is the definition of a linear equation?
- An equation that forms a circle when it is graphed.
- An equation that forms a curve when graphed.
- An equation with no solutions.
- An equation that forms a line when it is graphed. (correct)
What is the standard form of a linear equation?
What is the standard form of a linear equation?
Ax + By = C
What does the constant represent in a linear equation?
What does the constant represent in a linear equation?
C
What is an x-intercept?
What is an x-intercept?
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What is a y-intercept?
What is a y-intercept?
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Study Notes
Linear Equations
- A linear equation represents a relationship that results in a straight line when graphed.
- The general form of a linear equation is expressed as Ax + By = C.
Standard Form
- Standard form of a linear equation is represented as Ax + By = C.
- A, B, and C are constants, with A and B not simultaneously equal to zero.
Constants
- In the context of a linear equation, C represents the constant term.
- Constants are fixed values that do not change and help determine the position of the line on the graph.
x-Intercept
- The x-intercept indicates where the graph intersects the x-axis.
- This point is characterized by the coordinates (x, 0), where the value of y is zero.
y-Intercept
- The y-intercept shows where the graph intersects the y-axis.
- This point is characterized by the coordinates (0, y), where the value of x is zero.
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