P. 4 Slope from a Graph

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) over the change in x (run).

Front

How do you calculate the slope from a graph?

Back

To calculate the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and then use the formula: slope (m) = rise/run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning it goes straight up and down, and the change in x is zero.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, meaning there is no change in y as x changes.

Front

If a line goes down from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

If a line goes up from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.