Rate of Change

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

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

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

The slope is -1/5.

Front

What type of slope does a line with a positive slope have?

Back

A line with a positive slope rises from left to right.

Front

What type of slope does a line with a negative slope have?

Back

A line with a negative slope falls from left to right.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope of the line.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Find the slope from the table of values: (1, 2), (3, 6).

Back

The slope is 2.