the end point of JK are J(-3,-7) and K(5,9).what are the coordinates of the following point on JK?
Answers
Given : the end point of JK are J(-3,-7) and K(5,9).
To Find : the coordinates of the following point on JK?
point W is(1/4)the distance from J to K.
point R is(3/4)the distance from J to K.
point P is(1/8)the distance from J to K.
Solution :
W is(1/4)the distance from J to K.
=> JW = JK/4
=> 4JW = JW + WK
=> 3JW = WK
=> JW : WK = 1 : 3
W divided JK in 1 : 3 ratio
J(-3,-7) and K(5,9)
W = ( 1 * 5 + 3 (-3) )/ (1 + 3) , ( 1 * 9 + 3(-7)) / ( 1 + 3)
=> W = (- 1 , - 3)
Similarly
point R is(3/4)the distance from J to K.
=> R divide J to K in 3 :1 ratio
R = ( 3 * 5 +1 (-3) )/ (3+ 1) , ( 3 * 9 + 1(-7)) / (3+ 1)
=>R = ( 3 , 5)
point P is(1/8)the distance from J to K.
=> R divide J to K in 1: 7 ratio
J(-3,-7) and K(5,9)
P = ( 1 * 5 + 7 (-3) )/ (1 + 7) , ( 1 * 9 + 7(-7)) / ( 1 + 7)
=> P = (- 2 , - 5)
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