Slope of A line

Front

What is the definition of slope?

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 calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where the x-value remains constant while the y-value changes.

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, the y-value increases by 4 units.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the same as the slope, indicating how much the output (y) changes for a given change in input (x).

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line, calculating the rise (vertical change) and run (horizontal change), and then using the formula slope = rise/run.

Front

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

Back

The slope of a perfectly horizontal line is 0.