Rate of Change

Front

What is the formula for rate of change?

Back

Rate of Change = (y₂ - y₁) / (x₂ - x₁)

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

What is the average rate of change also known as?

Back

The average rate of change is also known as the slope.

Front

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

Back

Slope = (y₂ - y₁) / (x₂ - x₁)

Front

If the rate of change is negative, what does that indicate about the function?

Back

It indicates that the function is decreasing.

Front

What is a constant rate of change?

Back

A constant rate of change means the same amount of change occurs over equal intervals.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the significance of the y-intercept in the equation y = mx + b?

Back

The y-intercept is the point where the line crosses the y-axis.