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Priya is analyzing the slope of a line: (a)  

• Positive

• Negative

• Zero

• Undefined

Answer explanation

The slope of a line is categorized as positive when it rises from left to right. In this case, the correct answer is positive because the line has a positive slope.

Sophia and Benjamin are hiking up a hill. As they walk, they notice the path gets steeper. How would you categorize the slope of the hill?

• Positive

• Negative

• Zero

• Undefined

Answer explanation

The correct categorization for the slope of the line is 'Negative' when the line is sloping downwards from left to right.

Grace and Avery are hiking up a hill. The hill rises 5 meters for every 3 meters of horizontal distance. Find the slope of the hill.

• -5/3

• -3/5

• 5/3

• 3/5

Answer explanation

To find the slope, use the formula (y2 - y1) / (x2 - x1). Given points (-3, 5) and (2, -4), the slope is (-4 - 5) / (2 - (-3)) = -9 / 5 = -5/3.

Ava and Rohan are hiking up a hill. To calculate the slope of the hill using a graph, what should they do?

• rise over run

• run over rise

• look at the y intercept

• look at the x intercept

Answer explanation

To calculate slope using a graph, you need to find the rise (vertical change) over the run (horizontal change), which is represented as rise over run.

David is measuring the slope of a hill. Slope describes the ___________ of the hill?

• Color

• Size

• Length

• Steepness

Answer explanation

Slope describes the steepness of the line.

Mia and Noah are trying to calculate the slope of a hill using a graph. How do they do it?

• rise over run

• run over rise

• look at the y intercept

• look at the x intercept

Answer explanation

To calculate slope using a graph, you need to find the ratio of the vertical change (rise) to the horizontal change (run), which is known as rise over run.

William is riding his bike up a hill. The hill rises 3 feet for every 4 feet of horizontal distance. Find the slope:

Answer explanation

The correct slope is 4/3. To find the slope, use the formula: slope = (change in y) / (change in x) between two points on the line.

David is riding his bike up a hill. The hill forms a straight line on a graph. Find the slope of the hill.

• 1/2

• -1/2

• 2

• -2

Answer explanation

The slope of the line is 1/2. To find the slope, use the formula: slope = (change in y) / (change in x) between two points on the line.

Benjamin is riding his bike up a hill. The hill makes an angle with the horizontal, and the slope of the hill is represented by the line. Find the slope of the line.

• -4

• 4

Answer explanation

The correct slope of the line is 4. To find the slope, you need to calculate the change in y divided by the change in x between two points on the line. In this case, the slope is 4.

Aiden and Zoe are measuring the slope of a hill. What is the slope of the hill they measured?

Answer explanation

The slope of the line is 4/3, which is the correct answer choice provided.