Answer:
[tex]\textsf{P}=\left(-\dfrac{44}{7},-\dfrac{5}{7}\right)[/tex]
Step-by-step explanation:
Given:
- A = (-11, 1)
- B = (0, -3)
- Ratio 3 : 4
Therefore, point P on the segment AB should be 3/7 of the way from point A.
[tex]x_P=\dfrac{3}{7}(x_B-x_A)+x_A=\dfrac{3}{7}(0-(-11))-11=\dfrac{-44}{7}[/tex]
[tex]y_P=\dfrac{3}{7}(y_B-y_A)+y_A=\dfrac{3}{7}(-3-1)+1=-\dfrac{5}{7}[/tex]
[tex]\implies \textsf{P}=\left(-\dfrac{44}{7},-\dfrac{5}{7}\right)[/tex]
or P = (-6.3, -0.7) to 1 decimal place
(Please see attached image, where the segment AB has been divided into 7 equal parts.)
