Practice Test Linear Relationships Unit Test

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction of the relationship (positive or negative).

Front

How do you calculate 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

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity, often expressed as 'per' (e.g., miles per hour).

Front

How can you identify a positive slope on a graph?

Back

A positive slope is identified when the line rises from left to right on a graph, indicating that as the x-value increases, the y-value also increases.

Front

What does a negative y-intercept indicate in a linear equation?

Back

A negative y-intercept indicates that the line crosses the y-axis below the origin (0,0), meaning that the initial value of the dependent variable is negative when the independent variable is zero.

Front

What is the significance of the coordinates (6, -2) and (-3, 1) in finding slope?

Back

These coordinates represent two points on a graph. The slope between these points can be calculated to determine the rate of change between them.

Front

What type of situation can be modeled by a linear equation?

Back

Situations that involve constant rates of change, such as distance over time, cost per item, or weight gain over time, can be modeled by linear equations.

Front

How do you interpret the slope of a line in a real-world context?

Back

The slope can be interpreted as the rate at which one quantity changes in relation to another. For example, if the slope represents cost per item, a higher slope means a higher cost for each additional item.