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 the y-coordinate divided by the change in the x-coordinate (rise over 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 these points, 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 the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is 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 the run (horizontal change) is 0, leading to division by zero.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for calculating slope 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 mean?

Back

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

Front

How can you tell if a line is steep or gentle?

Back

A steeper line has a larger absolute value of slope, while a gentler line has a smaller absolute value of slope.