Finding slope using Slope triangles

Front

What is the definition of slope in mathematics?

Back

Slope is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.

Front

How do you find the slope of a line using slope triangles?

Back

To find the slope using slope triangles, create a right triangle by drawing horizontal and vertical lines from two points on the line, then calculate the slope as rise/run.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change (run = 0).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise = 0).

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 is a slope triangle?

Back

A slope triangle is a right triangle formed by the rise and run of a line, used to visually represent the slope.

Front

How can slope triangles help in understanding slope?

Back

Slope triangles help visualize the relationship between rise and run, making it easier to understand how steep a line is.

Front

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

Back

The slope is significant in real-world applications as it represents rates of change, such as speed, growth, and incline.