Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

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 in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

If the slope is 3, what does this mean in terms of rise over run?

Back

A slope of 3 means that for every 1 unit you move horizontally (run), the line rises 3 units (rise).

Front

What is the constant of proportionality in a linear relationship?

Back

The constant of proportionality is the slope of the line, representing the ratio of the change in y to the change in x.

Front

What is the slope of the line represented by the points (2, 4) and (6, 8)?

Back

The slope is 1, calculated as (8 - 4) / (6 - 2) = 4 / 4 = 1.