Question

Find the coordinates of point P along directed line segment AB with A(-4, 8) and B(16. - 2). so that the ratio of AP to PB is 3 to 2.

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(63)
O (4.4)
0 (0.6

Answer 1

P(8,2)

Step-by-step explanation:

We can find the coordinates of P using section formula which is :

`((m_1x_2+m_2x_1)/(m_1+m_2),(m_1y_2+m_2y_1)/(m_1+m_2))`

We have, m₁ = 3, m₂ = 2, x₁ = -4, y₁ = 8, x₂ = 16, y₂ = -2

Putting all the values, we get :

`((3* 16+2* (-4))/(3+2),(3* (-2)+2* 8)/(3+2))\\\\=(8,2)`

Hence, the coordinates of P is (8,2).