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1) What is the slope of the line containing the midpoint of the segment with endpoints at (2,4) and (0,-2) and the midpoint of the segment with endpoints at (5,1) and (1,5) Express your answer in simplest form.

 

2) Suppose the graph of y = f(x) includes the points (1,5), (2,3) and (3,1). 
Based only on this information, there are two points that must be on the graph of y = f(x(x)) . If we call those points (a,b) and (c,d) what is ab + cd?

 Jun 25, 2020
 #1
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https://web2.0calc.com/questions/graphing-lines#r1

 Jun 25, 2020
 #2
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2) When you put 3 into f(x), you get 1. When you put 1 into f(x), you get 5. So one point in f(x(x)) is (3,5).

When you put 2 into f(x), you get 3. When you put 3 into f(x), you get 1. So the second point on f(x(x)) is (2,1).

3*5+2*1=17

 Jun 25, 2020
edited by thelizzybeth  Jun 26, 2020

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