Reveal Pilot - Lesson Flashcardzes 3-1 through 3-4

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as the slope of a line in a graph.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value of the ratio of two proportional quantities. It represents how one quantity changes in relation to another.

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What does a negative slope indicate?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is a slope triangle?

Back

A slope triangle is a right triangle formed by the rise and run of a line on a graph, used to visually represent the slope.

Front

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

Back

In a real-world context, the slope can represent rates such as speed, cost per item, or any other ratio of change.

Front

What is the relationship between slope and linear equations?

Back

In linear equations of the form y = mx + b, 'm' represents the slope of the line, indicating the 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.