Finding slope using Slope triangles

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (change in y) to the run (change in x), often expressed as Rise/Run or (Change in y)/(Change in x).

Front

How do you find the slope using slope triangles?

Back

To find the slope using slope triangles, draw a right triangle between two points on the line. The vertical leg represents the rise, and the horizontal leg represents the run. The slope is the rise divided by the run.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no rise (change in y) when moving along the x-axis.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run (change in x) is 0, leading to division by zero.

Front

If a line rises 3 units and runs 4 units, what is the slope?

Back

The slope is 3/4.

Front

If a line falls 2 units and runs 5 units, what is the slope?

Back

The slope is -2/5.

Front

What is the formula for calculating slope?

Back

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

Front

What does a slope of 1 mean?

Back

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