Answer:
Option (4)
Step-by-step explanation:
Point A is located at (0, 4) and point C is located at (-3, 5).
Let the point B is located at [tex]\frac{1}{4}[/tex] the distance from A and C.
In other words ratio of the segments AB and BC = m : n = 1 : 3
Coordinates of a point (x, y) which divides a segment having ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
If the ends of the segment are (0, 4) and (-3, 5), coordinates of point B will be
= [tex](\frac{1(-3)+4(0)}{1+3},\frac{1(5)+4(4)}{1+3})[/tex]
= [tex](-\frac{3}{3}, \frac{21}{3})[/tex]
= (-1, 7)
Option (4) will be the answer.
