Unit 2 Linear Relationships Review

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. In a graph, this is represented by a straight line that passes through the origin.

Front

What does it mean if a line goes through the origin in a graph?

Back

If a line goes through the origin (0,0), it indicates that there is a proportional relationship between the variables represented on the axes.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope of a line from a graph?

Back

The slope of a line can be identified by determining the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as one variable increases, the other variable decreases, resulting in a downward slant of the line.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope of the line, which represents how much y changes for a unit change in x.

Front

What is the equation of a linear function?

Back

The equation of a linear function is typically written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a graph represents a linear function?

Back

A graph represents a linear function if it forms a straight line, indicating a constant rate of change.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What does it mean if a slope is zero?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.