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 visually represent the slope.

Front

How do you calculate the slope using a slope triangle?

Back

The slope is calculated using the formula: Slope = \( \frac{rise}{run} \) where 'rise' is the vertical change and 'run' is the horizontal change.

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, leading to division by zero in the slope formula.

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

The slope is \( \frac{3}{4} \).

Front

If a line falls 2 units for every 5 units it runs, what is the slope?

Back

The slope is \( -\frac{2}{5} \).

Front

What is the slope of a line that runs 6 units to the right and rises 2 units?

Back

The slope is \( \frac{2}{6} = \frac{1}{3} \).

Front

How do you identify the rise and run from a slope triangle?

Back

The rise is the vertical leg of the triangle, and the run is the horizontal leg of the triangle.