Answer:
(-2.5,-3)
Step-by-step explanation:
Initial points, [tex](x_1,y_1)=(-10,-3)[/tex]
Final points, [tex](x_2,y_2)=(2,-3)[/tex]
The ratio in which the points divides is 5:3. KLet (x,y) be the coordinates of the point that is directed on the line segment from (-10, -3) to (2, -3).
Using section formula,
[tex]x=\dfrac{m_1x_2+m_2x_1}{m_1+m_2}, y=\dfrac{m_1y_2+m_2y_1}{m_1+m_2}\\\\x=\dfrac{5\times 2+3\times (-10)}{5+3}, \dfrac{5(-3)+3(-3)}{5+3}\\\\x=-2.5, y=-3[/tex]
So, the coordinates of the point is (-2.5,-3).
