25 M1 Determining Slope in all forms.

What is the slope (m)?

• $3

• $4

• $2

• $9

Answer explanation

The slope (m) is calculated from the rise over run. In this case, the correct slope is $9, indicating a steep incline. This value represents the rate of change in the context provided.

Tags

CCSS.HSS.ID.C.7

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

• 1/2

• -1/2

• 2

• -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 = (12 - 4) / (6 - 2) = 8 / 4 = 2. Thus, the slope is 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope of the line.

• -2

• 2

• -1

• 1

Answer explanation

The slope of a line is calculated as the change in y over the change in x (rise/run). A slope of -1 indicates that for every unit increase in x, y decreases by 1. Thus, the correct answer is -1.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Answer explanation

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

The slope is known as rise/ (Rise over ________)

• run

• fall

• none

• rise

Answer explanation

Slope is defined as rise over run, which means the vertical change (rise) divided by the horizontal change (run). Therefore, the correct answer to fill in the blank is 'run'.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope.

• -2

• 2

• ¹/₂

• -¹/₂

Answer explanation

To find the slope, use the formula (change in y) / (change in x). If the slope is -1/2, it indicates a decrease of 1 unit in y for every 2 units increase in x, confirming the correct answer is -1/2.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope.

• ²/₅

• ^-2/₅

• ⁵/₂

• ^-5/₂

Answer explanation

To find the slope, use the formula (change in y) / (change in x). Given the values, the slope calculates to 5/2, making ⁵/₂ the correct answer.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope from the table.

• 1/4

• -1/4

• -4/1

• 4/1

Answer explanation

To find the slope from the table, calculate the change in y over the change in x. The correct slope is -4/1, indicating a steep negative slope, which matches the data points in the table.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope between the two points.
(4, 2) and (3, 8) 

• ^-1/₆

• -6

• ¹/₆

• 6

Answer explanation

To find the slope (m) between points (4, 2) and (3, 8), use the formula m = (y2 - y1) / (x2 - x1). Here, m = (8 - 2) / (3 - 4) = 6 / -1 = -6. Thus, the correct answer is -6.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

Find the slope between the two points.
(2, 7) and (5, 8)

• ¹/₃

• ^-1/₃

• 3

• -3

Answer explanation

To find the slope (m) between points (2, 7) and (5, 8), use the formula m = (y2 - y1) / (x2 - x1). Here, m = (8 - 7) / (5 - 2) = 1 / 3. Thus, the correct answer is 1/3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3