URGENT PLEASE HELP!!!
Holli's house is located at (−1, 4). She can walk in a straight line to get to Jedd's house. A fast food restaurant is located at (−3, 2) and partitions the way from Holli's house to Jedd's house by a ratio of 1:3. Find the coordinate of Jedd's house.

Respuesta :

Answer:

-9,-4

Step-by-step explanation:

Let the coordinates of Jedd's house be (a,b).

This is called internal ratio division.

-3=[a+3(-1)]/4.

a-3=-12

a=-12+3

a=-9

Also, 2=[b+3(4)]/4

b+12=8

b=-4

Coordinates are (a,b)=(-9,-4)

Alternatively, from Holli's x coordinate (-1) to the Fast food's x coordinate(-2), is a difference of -2 for a ratio coefficient of 1. Then for a ratio coefficient of 3, the first plus (-2) gives -5, another -2 step will be -7, and third step will be -9. Note that ratio is 1:3.

The y coordinate of Holli's house is 4. It moved down to 2 at the fast food. This gives a difference of -2. If ratio is 1:3, then 3×-2=-6. From fast food, y coordinate of Jedd's house will be at -6+2=-4.

Hence, Jedd's house is at (-9,-4)

Answer:

-9,-4

Step-by-step explanation:

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