Mathematics

Problem

As shown in the diagram, region

R

in the plane has vertices at

(0, 0)

(0, 5)

(4, 5)

(4, 1)

(9, 1)

and

(9, 0)

. There is a straight line

y = mx

that partitions

R

into two sub regions of equal area. The value of

m

equal to ![A coordinate plane showing region R, which is an L-shaped polygon with vertices at (0, 0), (0, 5), (4, 5), (4, 1), (9, 1), and (9, 0). The region is shaded.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/96d42070cb4e482bba8d81a426107486/2583a26b85126a2fd60062a7e7ec4ed0_img.jpg) (A)

\frac{15}{16}

(B) 1 (C)

\frac{5}{4}

(D)

\frac{4}{3}

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