Slope Assignment (Rise over Run)

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, 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 of a line?

Back

To calculate the slope, use the formula: Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).

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 vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no vertical change (rise) as the x-value changes.

Front

If a line has a slope of 4/5, what does this mean?

Back

A slope of 4/5 means that for every 5 units you move horizontally (run), the line rises 4 units (rise).

Front

Find the slope between the points (2, 3) and (6, 7).

Back

Slope = (7 - 3) / (6 - 2) = 4 / 4 = 1.

Front

Find the slope between the points (1, 2) and (4, 6).

Back

Slope = (6 - 2) / (4 - 1) = 4 / 3.

Front

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

Back

The slope of the line is -2.