Rate of Change and Slope

Front

0

Back

Answer explanation

The slope of a line is determined by its steepness. A slope of 0 indicates a horizontal line, which means there is no vertical change as you move along the line. Therefore, the correct answer is 0.

Front

2

Back

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Answer explanation

To find the slope (m) between two points (x1, y1) and (x2, y2), use the formula m = (y2 - y1) / (x2 - x1). Here, m = (12 - 4) / (6 - 2) = 8 / 4 = 2. Thus, the slope is 2.

Front

-1/5

Back

Find the slope of the line that passes through (10, 1) and (5, 2)

Answer explanation

To find the slope (m) between points (x1, y1) and (x2, y2), use the formula m = (y2 - y1) / (x2 - x1). Here, m = (2 - 1) / (5 - 10) = 1 / -5 = -1/5. Thus, the correct answer is -1/5.

Front

-1

Back

Answer explanation

The slope of a line is calculated as the change in y over the change in x. If the line decreases by 1 unit in y for every 1 unit increase in x, the slope is -1. Thus, the correct answer is -1.

Front

-5/4

Back

Answer explanation

To find the slope of the line, use the formula (y2 - y1) / (x2 - x1). The correct calculation yields -5/4, indicating a negative slope. Thus, the correct answer is -5/4.

Front

0

Back

Answer explanation

The slope of a line is calculated as the change in y over the change in x. A slope of 0 indicates a horizontal line, meaning there is no vertical change as x changes. Therefore, the correct answer is 0.

Front

Undefined

Back

Answer explanation

The slope of a line is undefined when the line is vertical. Since the correct answer is 'Undefined', it indicates that the line does not have a defined slope, as it does not rise or fall.

Front

-5/3

Back

Answer explanation

To find the slope, use the formula (y2 - y1) / (x2 - x1). Given the values, the calculation results in -5/3, confirming that the correct answer is -5/3.

Front

-5/3

Back

Answer explanation

To find the slope, use the formula (y2 - y1) / (x2 - x1). Given the points, the calculation yields -5/3, confirming that the correct answer is -5/3.

Front

5/2

Back

Find the slope of the line that passes through:
(6,7) and (4,2)

Answer explanation

To find the slope (m) between points (x1, y1) and (x2, y2), use the formula m = (y2 - y1) / (x2 - x1). Here, m = (2 - 7) / (4 - 6) = -5 / -2 = 5/2. Thus, the correct answer is 5/2.