Slope Assignment (Rise over Run)

Front

What is the definition of slope in mathematics?

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

What does 'rise over run' mean?

Back

'Rise over run' refers to the formula used to calculate the slope of a line, where 'rise' is the change in the y-coordinates and 'run' is the change in the x-coordinates.

Front

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

Back

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

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 you move along the line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (horizontal change) is 0, leading to division by zero.

Front

If a line rises from left to right, what can you say about its slope?

Back

If a line rises from left to right, its slope is positive.

Front

If a line falls from left to right, what can you say about its slope?

Back

If a line falls from left to right, its slope is negative.

Front

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

Back

The slope of the line is 2.

Front

Find the slope of the line passing through the points (1, 2) and (3, 6).

Back

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

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope of the line is -1/2.