Constant Rate of Change/Slope/Direct Variation/Proportions

Front

What is the definition of Constant Rate of Change?

Back

The Constant Rate of Change refers to a consistent change in the value of a quantity over time, represented by the slope of a linear graph.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between two variables, indicating how much one variable changes for a unit change in another variable.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

What is the formula for Direct Variation?

Back

The formula for Direct Variation is y = kx, where k is the constant of variation.

Front

What does it mean if a relationship is not a direct variation?

Back

If a relationship is not a direct variation, it means that the ratio of y to x is not constant.

Front

What is a Proportion?

Back

A Proportion is an equation that states that two ratios are equal.

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

What is an example of a Constant Rate of Change in real life?

Back

An example is a car traveling at a constant speed of 60 miles per hour.

Front

What is the significance of a zero slope in a graph?

Back

A zero slope indicates that there is no change in the y-value as the x-value changes, representing a horizontal line.