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The graph shows the relationship between the cost of some pecans and the weight of the pecans in pounds.

The graph shows the relationship between the cost of some pecans and the weight of-example-1

1 Answer

4 votes

Answer:

y = 5x

Explanation:

Se the attached worksheet.

Pick two points on the line. We'll use these points to calculate a slope for the line. Slope is the Rise/Run of the line. The Rise is the change in y for the change in x, called the run. Pick two points that are easy to read from the graph. Since the line is straight, it makes no difference which two points. The ones chosen here are (0,0) and (6,30). The spreadsheet insert shows the slope calculation. Y rose by 30 (from 0 to 30) for a change in x of 6 (from 0 to 6), Rise/Run = 30/6 or 5. The form of the equation we want to find is y = mx + b, where m is the slope and b the y-intercept (the value of y when x is zero). We know b from the point (0,0). y is 0 when x=0.

The equation thus becomes y = 5x + 0 or y = 5x

The graph shows the relationship between the cost of some pecans and the weight of-example-1
User Macmist
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