Slope Triangles

Front

What is a slope triangle?

Back

A slope triangle is a right triangle formed by the rise and run of a line on a graph, used to calculate the slope.

Front

How do you calculate the slope using a slope triangle?

Back

The slope (m) is calculated as the rise (vertical change) divided by the run (horizontal change): m = rise/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, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run is 0 and division by zero is not possible.

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 slope?

Back

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

Front

How can slope triangles help in graphing linear equations?

Back

Slope triangles help visualize the steepness and direction of a line, making it easier to graph linear equations accurately.