Course 3 Chapter 3 Vocabulary

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).
Slope-intercept form
- Expressed as y = mx + b; here, m stands for the slope and b indicates the y-intercept 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.
X-intercept
- The x-coordinate where the line intersects the x-axis, reflecting the point at which y equals zero.
Y-intercept
- The y-coordinate where the line crosses the y-axis, 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.

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.