Finding slope using Slope triangles

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 ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you find the slope using slope triangles?

Back

To find the slope using slope triangles, draw a right triangle where the vertical leg represents the rise (change in y) and the horizontal leg represents the run (change in x). The slope is then calculated as rise/run.

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

If ∆y = 6 and ∆x = 3, what is the slope?

Back

The slope is 2/1, calculated as 6/3.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is a slope triangle?

Back

A slope triangle is a right triangle used to visually represent the rise and run of a line on a graph.

Front

If a line rises 4 units and runs 2 units, what is the slope?

Back

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

Front

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

Back

The slope can represent rates of change, such as speed, growth, or decline in various contexts like economics, physics, and biology.

Front

How can you determine if a slope is positive or negative?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.