What is the slope of the hypotenuses of the triangles in simplest form?

First-quadrant graph showing a ray through the origin and the points (5, 2), (10, 4), and (20, 8). Two triangles each have hypotenuses with endpoints along the line, a vertical leg, and a horizontal leg. The first triangle has a hypotenuse with endpoints at (5, 2) and (10, 4). The second triangle has a hypotenuse with endpoints at (10, 4) and (20, 8).

Question

What is the slope of the hypotenuses of the triangles in simplest form?
 
 
 
 
   First-quadrant graph showing a ray through the origin and the points (5, 2), (10, 4), and (20, 8). Two triangles each have hypotenuses with endpoints along the line, a vertical leg, and a horizontal leg. The first triangle has a hypotenuse with endpoints at (5, 2) and (10, 4). The second triangle has a hypotenuse with endpoints at (10, 4) and (20, 8).

anonymous · Answer

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