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Given F(0,2) and G(2,6). If point S lies 5/12 of the way along FG ...

Mathematics
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  Given F(0,2) and G(2,6).  If point S lies  5/12   of the way along  FG , closer to F than to G, find the coordinates of  S .  Then verify that this point lies on  FG .  

Apr 21st, 2015

For the x coordinate of S:  2(5/12) = 5/6

For the y coordinate of S:  2 + 4(5/12) = 2+ 5/3 = 11/3

Therefore, S(5/6, 11/3)

slope of line segment is 6-2 / 2-0 = 4/2 = 2

the equation of the line is

y - 2 = 2x

y = 2x + 2

plug in the coordinates (5/6, 11/3)

11/3 = 2(5/6) + 2 ?

11/3 = 10/6 + 12/6 ?

11/3 = 22/6 ?

11/3 = 11/3  CHECK!

Apr 20th, 2015

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