Questions and Answers
What is the constant of proportionality?
The constant ratio in a proportional linear relationship
What is the constant of variation?
A constant ratio in a direct variation
What does constant rate of change refer to?
The rate of change between any two points in a linear relationship is the same or constant
What is a direct variation?
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What characterizes a linear relationship?
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What is the pointslope form of an equation?
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What does rise refer to in the context of a line?
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What does run refer to in the context of a line?
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What is slope in the context of a line?
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What is the slopeintercept form of an equation?
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What is the standard form of an equation?
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What is substitution in algebra?
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What is a system of equations?
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What is the xintercept?
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What is the yintercept?
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Study Notes
Key Vocabulary Terms

Constant of proportionality
 Represents a specific ratio in a proportional linear relationship.

Constant of variation
 Indicates a constant ratio in a direct variation scenario.

Constant rate of change
 Refers to a uniform rate of change between any two points on a linear graph, maintaining consistency.

Direct variation
 Describes a relationship between two variable quantities characterized by a constant ratio; as one variable changes, the other does in a proportional manner.

Linear relationship
 A relationship depicted by a straight line when graphed, illustrating a consistent change between variables.
Equations and Forms

Point slope form
 Structured as y  y1 = m(x  x1), where m signifies the slope and (x1, y1) denotes a specific point on a nonvertical line.

Slope
 Represents the rate of change between points on a line; calculated as the ratio of vertical change (rise) to horizontal change (run).

Slopeintercept form
 Expressed as y = mx + b; here, m stands for the slope and b indicates the yintercept of the line.

Standard form
 Formulated as Ax + By = c, where A, B, and C are constants, and x and y are variables.
Changes in the Graph

Rise
 The vertical change observed between two points on a line.

Run
 The horizontal change measured between two points on a line.

Xintercept
 The xcoordinate where the line intersects the xaxis, reflecting the point at which y equals zero.

Yintercept
 The ycoordinate where the line crosses the yaxis, indicating the point at which x equals zero.
Systems and Solutions

Substitution
 An algebraic method used to find exact solutions of a system of equations by replacing a variable with an equivalent expression.

System of equations
 Consists of two or more equations sharing the same variables, which can be solved simultaneously to find common solutions.
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Description
Test your knowledge of key vocabulary related to equations in two variables with this flashcard quiz. Each term is defined clearly, helping you understand concepts such as direct variation and constant rates of change. Ideal for students mastering algebra concepts.