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).
https://static.k12.com/calms_media/media/1503500_1504000/1503533/1/a240b0c23767b51db95e417cc38a4a5bfff986a5/MS_IMC-140523-130902.jpg

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).
https://static.k12.com/calms_media/media/1503500_1504000/1503533/1/a240b0c23767b51db95e417cc38a4a5bfff986a5/MS_IMC-140523-130902.jpg

danjs · Answer

It shows you that the Slope of that Line, is Also the Slope of a hypotenuse of a right triangle on that line, 

You can measure the components of the slope,   they are the legs of the triangle in the right triangles.

ellaella02 · Answer

Okay, thank you.

danjs · Answer

The slope - For each unit change of 1 in the X direction,   what is the change in the Y direction