Unit 6 - 3 FC Slope from 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 of a line given 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 does a negative slope indicate about a line on a graph?

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 does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, indicating that there is no change in the x-value as the y-value changes.

Front

If a line has a slope of 1/2, what does this tell you about the rise and run?

Back

A slope of 1/2 means that for every 2 units of horizontal change (run), there is a 1 unit of vertical change (rise).

Front

How can you determine the slope from a graph visually?

Back

To determine the slope visually, select two points on the line, count the vertical change (rise) and the horizontal change (run) between them, and then calculate the slope using the rise/run ratio.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is zero.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.