Slope from graphs, tables and points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you calculate the slope from 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 x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where x does not change, leading to division by zero in the slope formula.

Front

If Neil rents a bike for $12 for 4 hours and $18 for 7 hours, what is the slope?

Back

The slope is 2.

Front

If Andrew can type 400 words in 5 minutes, what is the slope of his typing speed?

Back

The slope is 80 words per minute.

Front

What is the slope of a line that goes through the points (2, 3) and (4, 5)?

Back

The slope is 1.

Front

How do you interpret a slope of -1/2?

Back

A slope of -1/2 means that for every 2 units you move to the right (increase in x), the line falls 1 unit (decrease in y).