Finding Slope from a Graph Flashcard

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 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 then divide the rise by the 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 a zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs with vertical lines where the change in x is zero, making the slope calculation impossible.

Front

If a line rises 5 units for every 2 units it runs, what is the slope?

Back

The slope is 5/2.

Front

If a line falls 5 units for every 4 units it runs, what is the slope?

Back

The slope is -5/4.

Front

What is the slope of a line that goes downwards from left to right?

Back

The slope is negative.

Front

How do you express a slope in simplest form?

Back

To express a slope in simplest form, reduce the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor.