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: 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, meaning the line rises from left to right.

Front

What does a negative slope indicate?

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 zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no change in x as y changes.

Front

What is the variable used to represent slope?

Back

The variable used to represent slope is 'm'.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is (7-3)/(4-2) = 4/2 = 2.

Front

If a line has a slope of -3/5, what type of slope is it?

Back

It is a negative slope.

Front

If a line has a slope of 0, what type of slope is it?

Back

It is a zero slope.