Point a is located at the coordinates (-7 -6) point b is located at the coordinates (1 0) what is the length of ab

Point {eq} \ B displaystyle (x, y) {/ eq} divide la AC de una manera tal que {eq} \ displaystyle AB = \ frac {2} {3} AC {/ eq}B ( x , y )si(X,y)A B = 2 3A CUNAsi=23UNAC

Significa {eq} \ displaystyle AB: BC = 2: 1 = m: n {/ eq} A B : B C = 2 : 1 = m : nUNAsi:siC=2:1=metro:norte

Y las coordenadas del punto {eq} \ displaystyle A (1, -5) ~ \ text {y} ~ C (-5,4) {/ eq} A ( 1 , - 5 )  y C ( - 5 , 4 ) UNA(1,-5 5) y C(-5 5,4 4)

Entonces las coordenadas del punto B son:

B ( x = m x 2 + n x 1 m + n, y = m y 2 + n y 1 m + n  )si(X=metroX2+norteX1metro+norte,  y=metroy2+nortey1metro+norte)

Sustituir los valores,

B ( x = 2 × ( - 5 ) + 1 × 1 2 + 1, y = 2 × 4 + 1 × ( - 5 ) 2 + 1