Finding Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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 an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the run (change in x) is zero, making the slope calculation impossible.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in 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, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because there is no horizontal change.

Front

If a line rises 3 units for every 1 unit it runs, what is the slope?

Back

The slope is 3 (rise/run = 3/1).

Front

If a line falls 2 units for every 4 units it runs, what is the slope?

Back

The slope is -1/2 (rise/run = -2/4).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2, which is the coefficient of x in the equation.