Question

Point AAA is at {(-2, 4)}(−2,4)left parenthesis, minus, 2, comma, 4, right parenthesis and point CCC is at {(4,7)}(4,7)left parenthesis, 4, comma, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 1:31:31, colon, 3. B=\large(B=(B, equals, left parenthesis ,,comma \large))right parenthesis

Answer 1

(2.5, 6.25)

Explanation:

Given

A = (-2,4)

C = (4,7)

If B is located on AC such that AB to AC is 1:3

X coordinate of B;

X = ax1+bx2/a+b

X = 1(-2)+3(4)/1+3

X = -2+12/4

X = 10/4

X = 2.5

Y coordinate of B;

Y = ay1+by2/a+b

Y = 1(4)+3(7)/1+3

Y = 4+21/4

Y = 25/4

Y = 6.25

hence the coordinate of B is at (2.5, 6.25)