Question

WILL GIVE BRAINLIEST! 7th GRADE MATH

Answer 1

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 $\frac{1}{4}$ 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 $(x_1,y_1)$ and $(x_2,y_2)$ = $(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

If the ends of the segment are (0, 4) and (-3, 5), coordinates of point B will be

= $(\frac{1(-3)+4(0)}{1+3},\frac{1(5)+4(4)}{1+3})$

= $(-\frac{3}{3}, \frac{21}{3})$

= (-1, 7)

Option (4) will be the answer.