Slope from a Graph, Two Points and a Table

Front

What is the definition of slope in a graph?

Back

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

Front

How do you identify a positive slope on a graph?

Back

A positive slope rises from left to right, indicating that as the x-value increases, the y-value also increases.

Front

How do you identify a negative slope on a graph?

Back

A negative slope falls from left to right, indicating that as the x-value increases, the y-value decreases.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no vertical change as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change, leading to a division by zero in the slope formula.

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2, calculated as m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

What is the slope of a line with a rise of -3 and a run of 2?

Back

The slope is -3/2, calculated as m = rise/run = -3/2.

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

For every 2 units of horizontal change (run), the line rises 1 unit (rise).

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.