Positive Slope on a Graph

Front

What is the definition of slope in a graph?

Back

Slope 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 between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line on a graph?

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 is the slope of a line that rises 4 units for every 5 units it runs?

Back

The slope of the line is 4/5.

Front

If a line has a slope of 1/6, what does this mean in terms of rise and run?

Back

For every 1 unit the line rises, it runs 6 units horizontally.

Front

What is the slope of a line that rises 3 units for every 7 units it runs?

Back

The slope of the line is 3/7.

Front

How can you express a slope of 2/5 in terms of rise and run?

Back

A slope of 2/5 means that for every 2 units the line rises, it runs 5 units horizontally.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope of the line is 3/2.

Front

What is the significance of a slope of zero?

Back

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

Front

What is the significance of an undefined slope?

Back

An undefined slope indicates a vertical line, where the x-values are constant and there is no horizontal change.