8th Math 4.2 Rate of Change

Front

What is the definition of rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or slope.

Front

How do you calculate the slope of a line?

Back

The slope of a line is calculated by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in the dependent variable is consistent for each unit change in the independent variable.

Front

How can you interpret a slope of 0?

Back

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

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 0.

Front

What is the relationship between rate of change and slope in a linear function?

Back

In a linear function, the rate of change is constant and is represented by the slope of the line.

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change from a table, calculate the difference in the output values (y) divided by the difference in the input values (x) for two points.