SAT Math Practice Question #23585 - SATify | SATify

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SAT Math Practice Question #23585 - SATify | SATify

#23585

geometry

coordinate geometry

hard

120 sec

A triangle has vertices $(0, 0)$ , $(2, 3)$ , and $(4 k, 0)$ , and the line $y = k x$ divides the triangle into two triangles of equal area. What is the sum of all possible values of $k$ ?

A.

$- \frac{1}{2}$

B.

$- \frac{1}{4}$

C.

$\frac{1}{4}$

D.

$\frac{1}{2}$

E.

$\frac{3}{2}$