Step-by-step explanation:
Hey there!
Given;
Midpoint is (-1,3) and one endppint is; A(4,-1).
Let the coordinates of C be (x,y).
Use the midpoint formula.
[tex](x,y) = ( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]
Put all values.
[tex]( - 1,3) = (\frac{4 + x}{2} ,\frac{ - 1 + y}{2} )[/tex]
Since, they are equal, equating with their corresponding elements we get,
[tex] - 1 = \frac{4 + x}{2} [/tex]
Simplify it.
[tex] - 2 = 4 + x[/tex]
[tex]x = - 6[/tex]
Again,
[tex]3 = \frac{ - 1 + y}{2} [/tex]
Simplify it.
[tex]6 = - 1 + y[/tex]
[tex]y = 7[/tex]
Therefore the another endpoint is C(-6,7).
Hope it helps...
