Coordinates are the group of a number used to indicate the position of a point in a graph or at a scale.the coordinate of Cristian's house are (11,0)
Given-
Jayda's house is located at (1, 5).
A fast-food restaurant is located at (9, 1).
Fast-food restaurant partitions the way from Jayda's house to Cristian's house by a ratio of 4:1
Coordinates are the group of a number used to indicate the position of a point in a graph or at a scale.
Let the coordinate of jadya's be A (1,5))
Let the coordinate of Cristian's be B ([tex]x_2,y_2[/tex])
Let the coordinate of fast food restaurant be R (9,1)
The ratio is 4:1. Thus m is 4 and n is 1.
The coordinate of the point B is,
[tex]x_R=\dfrac{nx_1+mx_2}{m+n}[/tex]
[tex]9=\dfrac{1\times1+4\times x_2}{1+4}[/tex]
[tex]9=\dfrac{1+4 x_2}{5}[/tex]
[tex]4 x_2=9\times 5-1[/tex]
[tex]x_2=\dfrac{44}{4} =11[/tex]
Find the other point of Critian's house,
[tex]y_R=\dfrac{ny_1+my_2}{m+n}[/tex]
[tex]1=\dfrac{1\times5+4\times y_2}{1+4}[/tex]
[tex]1=\dfrac{5+4 y_1}{5}[/tex]
[tex]4y_1=5-5[/tex]
[tex]y_1=0[/tex]
Thus the coordinate of Cristian's house are (11,0).
Learn more about the coordinate points here;
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