7) Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33, 0) and B is at (0, 44).A) (22,15)B) (-22, 16)C) (-21, 15)D) (-21, 16)

Question

asked Jul 15, 2023 29.1k views

1 Answer

Orb · Answer 1 · 2023-07-20T18:48:27+0000

Given: a line segment AB with coordinates A(-33,0)and B(0,44).M divides the line segment into a ratio 4:7

Find : the coordintes of M.

Step-by-step explanation:

we know ,

$\begin{gathered} X=(0*44+7*(-33))/(4+7) \\ X=(-231)/(11) \\ X=-21 \end{gathered}$

and

$\begin{gathered} Y=(44*4+0*7)/(4+7) \\ Y=(176)/(11) \\ Y=16 \end{gathered}$

Final answer: the coordinates of point M is (-21,16)