Answer:
Point E is given by [tex]\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )[/tex]
Step-by-step explanation:
Let points C and D be [tex](x_0,y_0),\,(x_1,y_1)[/tex] and let point E divides it in ratio [tex]m:n[/tex].
Then coordinates of point E are given by [tex]\left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )[/tex]
Put [tex]m:n=3:4[/tex]
Point E is given by [tex]\left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )[/tex]
Now plot point E.
