if z (3,-1) is the midpoint of line segment of coordinate x (5,2) and y (a,b) then find the value of a and b. I need it fast if u tell fast I'll mark ur Brainliest. It's a deal

Respuesta :

Answer:

the coordinates of y are (1,-4)

Step-by-step explanation:

by using midpoint formula

z(x,y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

putting the values of coordinates

(3,-1)=[tex]\frac{5+a}{2}[/tex],[tex]\frac{2+b}{2}[/tex]

separating the coordinates

3=[tex]\frac{5+a}{2}[/tex]                and           -1=[tex]\frac{2+b}{2}[/tex]

3×2=5+a                and      -1×2=2+b

6=5+a                  and        -2=2+b

6-5=a                    and          -2-2=b

1=a                            and            -4=b

so the actual coordinates of y are (1,-4)

i hope it will help you

ACCESS MORE
EDU ACCESS