skfniwdnjcjdjs skfniwdnjcjdjs
  • 23-10-2020
  • Mathematics
contestada

point m (3, -2) is the midpoint of ab if the coordinates of a are (-1, 4) then find the coordinates of point b
a.( 0,0)
b. (1,1)
c. (7,-8)
d. (2,2)

Respuesta :

Muscardinus Muscardinus
  • 29-10-2020

Answer:

B(7,-8)

Step-by-step explanation:

Coordinates of m (3,-2)

Coordinates of A (-1,4)

We need to find the coordinates of point B if m is the midpoint of AB. Let the midpoints be (x,y).

Mid-point formula is :

[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

So,

[tex](3,-2)=(\dfrac{-1+x}{2},\dfrac{4+y}{2})\\\\\text{It means,}\\\\\dfrac{x-1}{2}=3\ \text{and}\ \dfrac{4+y}{2}=-2\\\\x-1=6\ \text{and}\ 4+y=-4\\\\x=7\ \text{and}\ y=-8[/tex]

So, the coordinates of B is (7,-8).

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