Finding Slope from a Graph: Key Concepts and Techniques

Mrs. Tesman introduces the concept of slope, explaining its importance in describing the steepness and rate of change of a line. The video covers how to calculate slope using the rise over run method, with examples demonstrating positive and negative slopes. Real-life applications are discussed, emphasizing the importance of understanding scale. Special cases of slope, such as zero and undefined slopes, are also explained.

What does the slope of a line represent?

• The total length of the line

• The horizontal distance between two points

• The vertical distance between two points

• The steepness or incline of the line

How is the slope of a line calculated?

• Horizontal change divided by vertical change

• Vertical change divided by horizontal change

• Difference between vertical and horizontal changes

• Sum of vertical and horizontal changes

In the formula for slope, what does 'rise' refer to?

• No change

• Diagonal change

• Vertical change

• Horizontal change

If you move down three units and right two units, what is the slope?

• -3/2

• 3/2

• 2/3

• -2/3

In a real-life example, if you lose 20 cubic feet of air every 3 minutes, what is the slope?

• -20/3

• 20/3

• 3/20

• -3/20

What does a zero slope indicate about a line?

• The line is vertical

• The line is horizontal

• The line is diagonal

• The line is curved

What is the slope of a vertical line?

• Negative

• Undefined

• Zero

• Positive

Which direction does a line with a positive slope slant?

• Downhill from left to right

• Uphill from left to right

• Horizontal

• Vertical

What is the slope of a line that slants downhill from left to right?

• Positive

• Negative

• Zero

• Undefined

How can special cases of slope help verify the correctness of calculated slopes?

• By counting the number of points on the line

• By measuring the length of the line

• By comparing the direction of the line with the sign of the slope

• By checking if the line is curved