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Explanation & Answer
1. Assuming the line equation is y=mx+b
Input (5,3) into the equation, 3=5m+b (1)
Input (2,5) into the equation, 5=2m+b (2)
(1)-(2): -2=3m, m=-2/3
So for (1), 3=5*(-2/3)+b, 3+5*(2/3)=b, b=9/3+10/3=19/3
So the equation is y=-2/3x+19/3
2. The rate of change=(35ft-5ft)/2s=30 ft/2 s=15 ft/s
3.Since for the two points given have the same y value, the line through them is parallel to x axis.
Therefore the equation of the the line is y=6
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