Finding 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 find the slope from a graph?

Back

To find 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, 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 there is no change in x, resulting in division by zero.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, meaning there is no change in y, indicating a constant value.

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 goes through the points (2, 3) and (4, 7)?

Back

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

Front

What is the slope of a line that goes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-values are the same.