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# coordinates

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What are the coordinates of the point on the directed line segment from (-4,3) to(-2,-5) that partitions the segment into a ratio of 1 to 3?

Sep 2, 2021

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What are the coordinates of the point on the directed line segment from P1 (-4,3) to P2 (-2,-5) that partitions the segment into a ratio of 1 to 3?

Hello Guest!

The function equation is

$$f(x)=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)+y_1\\ f(x)=\frac{-5-3}{-2-(-4)}\cdot (x-(-4))+3\\ \color{blue}f(x)=-4x-13$$

The coordinates of the point on the directed line segment from P1 (-4,3) to P2 (-2,-5) that partitions the segment into a ratio of 1 to 3 are (-3.5, 1) or (-2.5, -3).

!

Sep 2, 2021