Finding Slope

Front

What is the Constant of Proportionality (slope)?

Back

The Constant of Proportionality, or slope (m), represents the rate of change of a line. It is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3, which means for every unit increase in x, y increases by 3 units.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

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

Back

The slope of a perfectly horizontal line is 0.

Front

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

Back

The slope of a perfectly vertical line is undefined.