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Review of the Coordinate Plane & Slope Practice

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The slope of a line is calculated by the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two points on the line.

The points given are (0,2) and (1,-1).

So, you substitute these values into the formula:

Slope = (-1-2) / (1-0)
Slope = -3 / 1
Slope = -3

So, the slope of the line given in the graph, based on the points provided, is -3.

i remeber you being gpt 3.5

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Use the table to answer the question.

Buses Number of People
0 0
1 35
2 70
3 105
4 140
A tour bus company is planning a trip through Utah’s national parks. The company plans to use 4 buses. Combined, the buses can fit up to 140 people. The table provided displays the number of people-to-bus ratio. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.

The constant of proportionality in this case is the consistent value you get when you divide the number of people by the number of buses. In this scenario, the constant of proportionality is 35, because each bus fits 35 people.

This value appears at each ratio in the table because the relationship is proportional: (1, 35), (2, 70), (3, 105), and (4, 140). However, the simplest form where you can easily see the constant of proportionality is at (1, 35). That's because 35 divided by 1 equals 35, the constant of proportionality. Thus, the answer is (1, 35).