+0  
 
0
25
3
avatar+18 
  1. Given the points A(-3,-4) and B(5,0), find the coordinates of point P on the directed line segment AB that partitions AB in the ration 2:3. 
  2. Given J(-2,5) and k(2,-3). Find the point P on JK such that 4•JP=PK. 
Bleh674  Dec 6, 2018
 #1
avatar+2291 
+1

Now this is something I can help with!

#1: The ratio 2:3=5 so you would use 2/5 or 3/5 as a fraction (I'll do 2/5 with this example)

Use the distance formula: [x1+a/a+b(x2-x1), y1+a/a+b(y2-y1)]

Plug in all the numbers and solve: 

X: -3+2/5(5+3)=0.2

Y: -4+2/5(0+4)=-2.4

P= (0.2,-2.4)

Now #2 is a bit different but also the same. 

The ratio would be 4:1. Four part JP and one part PK.

4:1=5 so your fraction would be either 4/5 or 1/5 (using 1/5 here)

X: -2+1/5(2+2)=-1.2

Y: 5+1/5(5+3)=6.6

P=(-1.2,6.6)

Tell me if you don't understand something from my explanation and I can try to help a little bit more.

RainbowPanda  Dec 6, 2018
 #2
avatar+18 
+1

Thank you so much! I think I understand, if I have any questions I'll make sure to ask. 

Bleh674  Dec 6, 2018
 #3
avatar+2291 
+1

You're very welcome! I'd love to help if you have anymore of these questions ^-^

RainbowPanda  Dec 6, 2018

9 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.