Course 3 Chapter 3 Vocabulary

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.

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.

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.

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.