Unit 3 and 4 Final Review

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. For example, in the equation y = kx, k is the constant of proportionality.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) in the equation y = mx + b, where b is the y-intercept.

Front

How do you determine the slope of a line from an equation?

Back

The slope of a line in the equation y = mx + b is represented by m. It indicates the steepness and direction of the line.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Identify the slope and y-intercept of the equation y = 4x - 2.

Back

Slope: 4, y-intercept: (0, -2).

Front

What is the difference between a positive slope and a negative slope?

Back

A positive slope indicates that as x increases, y also increases, while a negative slope indicates that as x increases, y decreases.

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent rates of change, such as speed in a distance-time graph or cost per item in a price graph.

Front

How can you tell if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.