Use the following information to answer the Questions
Seven board members of a company must decide between two other board members (A and B) for a certain position. The voters are concerned with two issues and their ideal points are represented as ordered pairs: (1, 4), (2, 3), (5, 2), (6, 3), (6, 1), (4, 4), and (3, 3). Assume that A and B announce policy positions of (1, 1) and (6, 4), respectively.
-What is the equation of the line passing through candidates' policy positions?

Question

Quizplus · Accepted Answer

The equation of the line passing through the candidates' policy positions can be found using the slope-intercept form: y = mx + b. The slope (m) is (4-1)/(6-1) = 3/5. To find the y-intercept (b), we can plug in the coordinates of one of the points, such as (1,1): 1 = (3/5)(1) + b, so b = 2/5. Therefore, the equation of the line is y = (3/5)x + 2/5. In terms of ideal points, this means the line represents compromise positions that are closer to A's ideal point than to B's. To find the best choice, we need to find the point on the line that is closest to the ideal point of each voter. This can be done by finding the distance from each ideal point to the line and selecting the candidate whose policy position is closest. Without calculating the distances, it can be determined that candidate B is closer to the ideal points of voters 1, 2, and 5, while candidate A is closer to the ideal points of voters 3, 4, 6, and 7. Therefore, the best choice would be A if voters are concerned with issue 1 and B if voters are concerned with issue 2.

Use the Following Information to Answer the Questions Seven Board 7y=5x+27 y = 5 x + 27y=5x+2

Use the Following Information to Answer the Questions
Seven Board $7 y = 5 x + 2$