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 to the horizontal change between two points on the line.

Front

How is slope calculated?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning there is no horizontal change as you move along the line.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3/1 or simply 3.

Front

What is the slope of a line that falls 2 units for every 4 units it runs?

Back

The slope is -2/4, which simplifies to -1/2.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every 1 unit increase in the x-direction, there is a 1 unit increase in the y-direction, resulting in a 45-degree angle.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the vertical change (rise) and the horizontal change (run), and use the slope formula.