How do you find the coordinates of the other endpoint of a segment with the given A(-1,4) and midpoint M(3,-2)?

Question

How do you find the coordinates of the other endpoint of a segment with the given A(-1,4) and midpoint M(3,-2)?

1 Answer

Impact of this question

2219 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-31T02:48:25

Coordinates of the other end point is $(7, - 8)$ $(7,-8)$

Explanation:

Look at the diagram also enter image source here

Given -
A $(- 1, 4)$ $(-1,4)$
M $(3, - 2)$ $(3,-2)$

To find the mid point you have to use the formula

$(x, y) = \frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}$ $(x,y)=(x_1+x_2)/2, (y_1+y_2)/2$

$x = 3$ $x=3$
$y = - 2$ $y=-2$
$x_{1} = - 1$ $x_1=-1$
$y_{1} = 4$ $y_1=4$

We have to find -

$x_{2} = ?$ $x_2=?$
$y_{2} = ?$ $y_2=?$

Plug in the values in the above formula

$(3, 2) = \frac{- 1 + x_{2}}{2}, \frac{4 + y_{2}}{2}$ $(3,2)=(-1+x_2)/2, (4+y_2)/2$

Then -

$\frac{- 1 + x_{2}}{2} = 3$ $(-1+x_2)/2=3$
$- 1 + x_{2} = 3 \times 2 = 6$ $-1+x_2=3xx2=6$
$x_{2} = 6 + 1 = 7$ $x_2=6+1=7$
$x_{2} = 7$ $x_2=7$

$\frac{4 + y_{2}}{2} = - 2$ $(4+y_2)/2=-2$
$4 + y_{2} = - 2 \times 2 = - 4$ $4+y_2=-2xx2=-4$
$y_{2} = - 4 - 4 = - 8$ $y_2=-4-4=-8$
$y_{2} = - 8$ $y_2=-8$

Coordinates of the other end point is $(7, - 8)$ $(7,-8)$

Science

Math

Humanities

... and beyond

How do you find the coordinates of the other endpoint of a segment with the given A(-1,4) and midpoint M(3,-2)?

1 Answer

Explanation:

Related questions

Impact of this question