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

It means that for every 2 units the line runs horizontally, it rises 1 unit vertically.

Front

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

Back

You can identify the slope by selecting two points on the line, determining the rise and run between them, and then calculating the slope using the formula m = rise/run.

Front

What is the slope of a line that decreases as you move from left to right?

Back

The slope is negative, indicating that the line falls as it moves to the right.

Front

What is the relationship between the slope of a line and its angle of inclination?

Back

The slope of a line is equal to the tangent of the angle of inclination with respect to the horizontal axis.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.