Identifying Slope From a Graph

Front

What is the definition of slope in the context of a graph?

Back

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

Front

What does a constant slope indicate about a line?

Back

A constant slope indicates that the rate of change between every set of points on the line is the same, meaning the line is linear.

Front

How do you determine the slope of a line from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide the rise by the run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as you move along the line.

Front

What is the slope of a vertical line?

Back

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

Front

If a line rises from left to right, what can be said about its slope?

Back

If a line rises from left to right, it has a positive slope.

Front

If a line falls from left to right, what can be said about its slope?

Back

If a line falls from left to right, it has a negative slope.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a slope of 1/2 indicate about the line?

Back

A slope of 1/2 indicates that for every 2 units of horizontal change, there is a 1 unit increase in vertical change.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in various contexts, such as speed, cost per unit, or growth rates.