Jayda's house is tocated at (1, 5), she can walk in a straight line to get to cristian's house a fast-food restaurant is located at (11,0) and partitions the way from jayda's house to cristian's house by a ratio of 5: 1 find the coordinate of cristian's house
a. (9, 4)
b. (5, 3)
c. (9, 1)
d. (13, -1)

The correct answer is option D.  (13, -1)

Step-by-step explanation:

points to remember

Let (x1, y1) and (x2, y2) be the points and P (x, y) be the points in which its divide the line segment in the ratio p : q,the coordinates of P is given by,

x = x1 + p/(w)(x2 - x1)

y = y1 + p/w(y2 - y1)

Where w = p + q

To find the coordinate of Cristian's house

Here, (x1, y1) = (1, 5) , (x, y) = 11, 0)

and (x2, y2) = ?

p : q = 5 : 1 then w = 5 + 1 = 6

x = x1 + p/(w)(x2 - x1)

11 = 1 + (5/6)(x2 - 1)

10 = (5/6)(x2 - 1)

12 = x2 - 1

x2 = 13

y = y1 + p/w(y2 - y1)

0 = 5 + 5/6(y2 - 5)

-5 = (5/6)(y2 - 5)

-6 = y2 - 5

y2 = -1

Therefore  the coordinate of Cristian's house is (13, -1)

The correct answer is option D.  (13, -1)

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step-by-step explanation:

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