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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down, and there is no horizontal change.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal, meaning it does not rise or fall as it moves from left to right.

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

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

Back

A slope of 1/2 means that for every 2 units the line runs horizontally, it rises 1 unit vertically.

Front

What is the slope of a line that rises 4 units for every 1 unit it runs?

Back

The slope of the line is 4.

Front

How can you identify the slope of a line from a graph?

Back

To identify the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change) between them, and then calculate the slope using the formula m = rise/run.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in various contexts, such as speed, cost per unit, or growth rates.

Front

What is the slope of a line that is perfectly diagonal from the bottom left to the top right?

Back

The slope of a perfectly diagonal line from the bottom left to the top right is 1.