Hi

Midpoint ( , )

Midpoint for line segment joining(-2,12) and (4,-6). 

 Midpoint is Pt(1, 3) slope of that segment is -6-12  / 4-(-2) = -18/6 = -3

slope of segment joining (4,4) and (1,3) is 3-4  /1-4 = -1/-3 = 1/3

slopes of two segments are negative reciprocals of one another, 

thus segments ⊥ to one another.





2) find the value of K for which the line joining (2.1,3.3) and (K,-3.2) is parallel to the line joining (-1,-2) and (1,3). 

parallel lines have identical slopes

line joining (-1,-2) and (1,3) has slope:   3-(-2) / 1-(-1) = 5/2

line joining (2.1,3.3) and (K,-3.2): -3.2 - 3.3 / K - 2.1 =  -6.5/(K - 2.1)

-6.5/(K - 2.1) = 5/2  

5(K-2.1) = -2*6.5

5K - 10.5 = -13

 5K = -2.5

  K = -.5     

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