Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents how much the dependent variable changes for a unit change in the independent variable.

Front

What does a negative correlation indicate in a graph?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

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

Back

The slope (m) is calculated as 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, represented by 'b' in the equation y = mx + b.

Front

What does it mean for lines to be perpendicular?

Back

Lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Front

How do you interpret a slope of 0 in a linear function?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

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

Back

The slope can represent rates of change, such as speed, growth rates, or any other relationship between two variables.

Front

What is the difference between a positive and 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.