Slope

Front

What is the Constant of Proportionality (slope)?

Back

The Constant of Proportionality, or slope (m), represents the rate of change between two variables in a linear relationship. It is calculated as the change in the y-values divided by the change in the x-values.

Front

The line pictured has a(n) ______ slope.

Back

Negative slope indicates that as the x-values increase, the y-values decrease.

Front

What is the constant of proportionality (slope)?

Back

The constant of proportionality (slope) is a numerical value that describes the steepness and direction of a line. For example, a slope of $9 means that for every 1 unit increase in x, y increases by 9 units.

Front

Find the slope: (2, 3) and (5, 9)

Back

Slope = (9 - 3) / (5 - 2) = 6 / 3 = 2.

Front

Slope is written as a(n) ________.

Back

Fraction, representing the ratio of the vertical change to the horizontal change.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-values increase, the y-values also increase.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x remains constant while y changes.

Front

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

Back

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

Front

If the slope of a line is -3, what does this mean?

Back

A slope of -3 means that for every 1 unit increase in x, y decreases by 3 units.