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

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 that passes through the points (3, 7) and (-4, 2)?

Back

The slope is 5/7.

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 4, what does this mean in terms of rise over run?

Back

A slope of 4 means that for every 1 unit you move to the right (run), the line rises 4 units (rise).

Front

What is the slope between the points (4, -3) and (9, 2)?

Back

The slope is 1.

Front

What is the formula for finding the slope between two points?

Back

The formula is m = (y2 - y1) / (x2 - x1).