Slope from a Graph

Front

What is the definition of slope in a graph?

Back

The slope of a graph is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope using rise/run?

Back

To calculate the slope using rise/run, identify two points on the line (x1, y1) and (x2, y2). The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

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 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 horizontal change (run) is 0, leading to division by zero.

Front

If a line rises 3 units and runs 2 units, what is the slope?

Back

Front

If a line falls 4 units and runs 1 unit, what is the slope?

Back

Front

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Back

Front

Back