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Given the points C(-1,-5) and D(-7,-11), find the coordinates of point E on CD such that the ratio of CE to ED is 5:3

 Sep 2, 2020
 #1
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The coordinates of E are (2,1).

 Sep 2, 2020
 #2
avatar+10147 
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Given the points C(-1,-5) and D(-7,-11), find the coordinates of point E on CD such that the ratio of CE to ED is 5:3

 

Hello Guest!

 

\(x_E=x_C-\frac{5}{8}(x_C-x_D)=-1-\frac{5}{8}(-1-(-7))\\ x_E=-4.75\)

 

\(y_E=y_C-\frac{5}{8}(y_C-y_D)=-5-\frac{5}{8}(-5-(-11))\\ y_E=-8.75\)

 

The coordinates of point E are

\(E(-4.75,-8.75)\)

laugh  !

 Sep 2, 2020
 #3
avatar+12448 
+3

Given the points C(-1,-5) and D(-7,-11), find the coordinates of point E on CD such that the ratio of CE to ED is 5:3

laugh

 Sep 2, 2020

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