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# help

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Line segment AB has endpoints A(7, 4) and B(2, 5). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3

Mar 31, 2020

#1
+4599
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The coordinates of point Y(name this point Y) can be found by: $$(\frac{x_1+\gamma x_2}{1+\gamma}, \frac{y_1+\gamma y_2}{1+\gamma})$$, where gamma($$\gamma$$) is the ratio of the coordinates(1:3).

$$(\frac{7+\frac{1}{3}*2}{1+\frac{1}{3}},\frac{4+\frac{1}{3}*5}{1+\frac{1}{3}})$$=$$(\frac{23}{4}, \frac{17}{4}).$$

Mar 31, 2020

#1
+4599
+1
The coordinates of point Y(name this point Y) can be found by: $$(\frac{x_1+\gamma x_2}{1+\gamma}, \frac{y_1+\gamma y_2}{1+\gamma})$$, where gamma($$\gamma$$) is the ratio of the coordinates(1:3).
$$(\frac{7+\frac{1}{3}*2}{1+\frac{1}{3}},\frac{4+\frac{1}{3}*5}{1+\frac{1}{3}})$$=$$(\frac{23}{4}, \frac{17}{4}).$$