Question

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary.

Answer 1

And is 1.2, -4.7

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Answer 2

Answer:

The correct option is 4.

Step-by-step explanation:

From the given figure it is noticed that the coordinate of the end points of the line AB is A(7,-2) and B(-8,-9).

Point C divides the line AB in 5:8.

$x=(\frac{m}{m+n})(x_2-x_1)+x_1$

$y=(\frac{m}{m+n})(y_2-y_1)+y_1$

The value of m is 5 and the value of n is 8.

$x=(\frac{5}{5+8})(-8-7)+7=\frac{5}{13}(-15)+7=1.23077\approx 1.2$

$x=(\frac{5}{5+8})(-9-(-2))-2=\frac{5}{13}(-7)-2=-4.6923\approx -4.7$

Therefore option 4 is correct.