Answer:
The coordinates of Jedds house are (-7 , -2)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (x , y) divide the distance between the two points
and
at the ratio
, then
and
* Lets solve the problem
∵ Hollis house is located at (-1 , 4)
∴ = (-1 , 4)
∵ She can walk in a straight line to get to Jedds house
∵ The restaurant is located at (-3 , 2) and partitions the way from
Hollis house to Jedds house by a ration of 1 : 2
∴ (x , y) = (-3 , 2)
∴ = 1 : 2
- Lets consider that Jedds house is located at
∴
∴
- Multiply both sides by 3
∴
- Add 2 for both sides
∴
∴
∴
- Multiply both sides by 3
∴
- Subtract 8 for both sides
∴
∴ The coordinates of Jedds house are (-7 , -2)