Question

Jayda's house is located at (1, 5). She can walk in a straight line to get to Cristian's house. A fast-food restaurant is located at (9, 1) and partitions the way from Jayda's house to Cristian's house by a ratio of 4:1. Find the coordinate of Cristian's house? a. (3, 4) b. (5, 3) c. (9,1) d. (13, -1)

Answer 1

Distance from Jaden's house to fast-food restaurant:

√((9 - 1)² + (1 - 5)²) = √(8² + (-4)²) =

√(64 + 16) = √80 = 4√5

Distance from fast-food restaurant to Cristian's house = √5

From (9, 1), go down one unit, then right two units, to (11, 0). Cristian's house is at (11, 0).