Step-by-step explanation:
Hey there!
Here;
The one end is A(-1,4) and midpoint M(3,0).
Let another endpoint be B(x,y).
Using midpoint formula.
[tex](x,y) = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Put all values.
[tex](3,0) = ( \frac{ - 1 + x}{2} ,\frac{4 + y}{2} )[/tex]
Since, they are equal, equating with their corresponding elements we get.
[tex]3 = \frac{ - 1 + x}{2} [/tex]
6 = -1 +x
x= 7.
Again,
[tex]0 = \frac{4 + y}{2} [/tex]
0 = 4+y
y = -4
Therefore the another endpoint is (7,-4).
So, answer is option C.
Hope it helps...
