# Math Help - [SOLVED] equation

1. ## [SOLVED] equation

Hello,

i 've an exercice to do but i'm quite perplexed, can u help me ?!
i 've beginning this graphic :

EX:

Points D1,D2,D3,D4 are in a graphical and their equations are y= 10,y=4,y=2 and y=8
A is an other point with A(4;10)
Can we find points B,C,D on D2,D3 and D4 so that ABCD is a rhombus.

I think I've translated it . . .

We have a point A(4,10).

and four horizonal lines: . $\begin{array}{cc}L1: & y = 10 \\ L2: & y = 8 \\ L3: & y = 4 \\ L4: & y= 2 \end{array}$

Find points $B,C,D$ on $L_2, L_3, L_4$ so that $ABCD$ is a rhombus.
Code:
          |       (4,10)
10+ - - - - o - - - - - - - - - -
|        * A  *
|       *         *   B
8+ - - -*- - - - - - - o (b,8) -
|     *              *
|  D *              *
4+ - o - - - - - - -*- - - - - -
| (d,4) *         *
|           *  C *
2+ - - - - - - - o - - - - - - -
|             (c,2)
|
------+--------------------------------
|

We must determine $b,c,d$ so that: . $\overline{AB} \,=\, \overline{BC} \,=\,\overline{CD} \,=\,\overline{DA}.$

Am I close?

3. thx!