Slope from a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (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 (vertical change) and run (horizontal change) between them, and divide rise by 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run is 0, leading to division by zero.

Front

If a line rises 3 units and runs 6 units, what is the slope?

Back

The slope is 3/6, which simplifies to 1/2.

Front

If a line falls 4 units and runs 2 units, what is the slope?

Back

The slope is -4/2, which simplifies to -2.

Front

What is the slope of a line that does not change in height?

Back

The slope is 0, indicating a horizontal line.

Front

What does it mean if a slope is steep?

Back

A steep slope means a large change in y for a small change in x, indicating a greater steepness.