Slope and Rate of Change Practice

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

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, meaning the line rises from left to right.

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, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, indicating that the x-value does not change while the y-value does.

Front

If a line has a slope of 2, what does this mean in terms of rate of change?

Back

A slope of 2 means that for every 1 unit increase in the x-value, the y-value increases by 2 units.

Front

What is the slope of a line that runs parallel to the x-axis?

Back

The slope of a line that runs parallel to the x-axis is 0.

Front

What is the slope of a line that runs parallel to the y-axis?

Back

The slope of a line that runs parallel to the y-axis is undefined.

Front

If the slope between two points is -3/2, what does this indicate about the line?

Back

A slope of -3/2 indicates that for every 2 units increase in the x-value, the y-value decreases by 3 units.