Answer:
P(8,2)
Explanation:
We can find the coordinates of P using section formula which is :
[tex](\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})[/tex]
We have, m₁ = 3, m₂ = 2, x₁ = -4, y₁ = 8, x₂ = 16, y₂ = -2
Putting all the values, we get :
[tex](\dfrac{3\times 16+2\times (-4)}{3+2},\dfrac{3\times (-2)+2\times 8}{3+2})\\\\=(8,2)[/tex]
Hence, the coordinates of P is (8,2).
