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. (5, 3) (11, 0) (13, −1) (15, −2).

Answer 1

The point on the coordinate of Cristian's house is (11, 0). Then the correct option is B.

What is the section of the line?

When a line is divided into the ratio of m:n, is called the section of the line.

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.

We know that the formula of section

$\rm (x, y) = (\dfrac{m_1x_2-m_2x_1}{m_1-m_2},\dfrac{m_1y_2-m_2y_1}{m_1-m_2})$

We have

m₁ = 5

m₂ = 1

Then we have

$\rm (x, y) = (\dfrac{5*9-1*1}{5-1},\dfrac{5*1-1*5}{5-1})\\\\(x, y) = (11, 0)$

The coordinate of Cristian's house is (11, 0).

Thus, the correct option is B.

More about the section of the line link is given below.

https://brainly.com/question/6582647