Chapter 4 Test : Linear Relationships

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the ratio of the change in the y-value to the change in the x-value, often represented as the slope of the line.

Front

How do you find the slope from a table of values?

Back

The slope can be found by taking the difference in y-values divided by the difference in x-values between two points.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is the y-intercept.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is the x-intercept.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a relationship is linear from a table?

Back

A relationship is linear if the rate of change (slope) between any two points is constant.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change in real-world contexts, such as speed, cost per item, or growth rate.