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Questions and Answers
What is the slope of the line that contains the points (10, -1) and (-8, 6)?
Based on the cost table, what is the cost per person when there are 4 people?
Using the distance table, how far does your car travel in one hour?
What is the slope of the line represented by the points (0, -2) and (3, 4)?
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What does the slope of 1/40 represent in the context of the cost table?
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Study Notes
Slope Calculation from Points
- Slope (m) measures the steepness of a line connecting two points.
- Formula for slope: m = (y2 - y1) / (x2 - x1).
- Example points: (10, -1) and (-8, 6).
- Substitute the coordinates in the formula to find the slope.
Example with Given Points
- Points labeled as (x1, y1) = (0, -2) and (x2, y2) = (3, 4).
- Calculation: m = (4 - (-2)) / (3 - 0) = 6 / 3 = 2.
Slope Calculation from Tables
- Slope can also be determined from a table of values.
- Example table for ski rentals:
- Shows cost associated with varying numbers of people.
- Slope derived from changes in cost relative to the number of people.
- Example table for driving distance:
- Displays miles driven over different time intervals.
- Slope represents miles per hour based on time and distance data.
Key Concepts in Calculating Slope from Tables
- Identifying consistent increments in table values.
- Slope determination from given cost per person in the ski rental example.
- Per-hour travel rate derived from distance and time in the driving distance example.
- The significance of understanding slope in practical contexts like rental costs and travel distances.
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Description
This quiz focuses on calculating the slope of a line using given points, tables, and graphs. Test your understanding of the formula for slope and how to apply it to different scenarios. Challenge yourself with multiple-choice questions based on the slope concept.
