Rate of Change

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 a slope in a graph.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope (rate of change) and b is the y-intercept (the value of y when x = 0).

Front

If Jerry makes $7 per hour, what does this represent in terms of rate of change?

Back

This represents the rate of change of Jerry's total money with respect to the hours worked.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, representing the value of y when x is zero.

Front

How do you find the slope of a line from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

In the equation y = -3x + 20, what does -3 represent?

Back

The -3 represents the rate of change, indicating that for each month (x), the amount of money decreases by $3.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate at which one quantity changes in relation to another, which can be applied to various real-world situations like speed, cost, and savings.

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means that there is no change in y as x changes; the line is horizontal.