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Lines and Rhombi

ACTMAT-0AJPTE

Rhombus ABCD lies on the x-y coordinate plane, with A at $(4,6)$ and C at $(10,2).$

What is the equation of the line containing ${\overline{BD}}$?

A

$2x + 3y = 26$

B

$2x + 3y = 2$

C

$3x – 2y = 29$

D

$3x – 2y = 13$

E

$3x + 2y = 29$