Question

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1. PB is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?
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2. The midpoint of CD is E(-1,0). one endpoint is C(5,2). What are the coordinates of the other endpoint?

Answer 1

1. Midpoint = (-2+12)/2 = 10/2 = 5


2. C(5, 2) E(-1, 0) D=?


`x_E= (x_C+x_D)/(2) \ \ \ \to \\\\ -1= (5+x_D)/(2) \ \ \ \to \ \ \ -2=5+x_D \ \ \to \ \ x_D=-2-5=-7 \\\\\\y_E= (y_C+y_D)/(2) \ \ \ \to \\\\ 0= (2+y_D)/(2) \ \ \ \to \ \ \ 0=2+y_D \ \ \to \ \ y_D=0-2=-2`

Answer: D(-7, -2)