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

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Question

What is the slope of the hypotenuses of the triangles in simplest form

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alexandervonhumboldt2 · Answer

use slope formula
(y1-y2)/(x1-x2)

alexandervonhumboldt2 · Answer

(2-4)/(5-10)=(-2)/(-5)=2/5

alexandervonhumboldt2 · Answer

the slope of their hypotenuses is 2/5

alexandervonhumboldt2 · Answer

the slope formula is $$\frac{ y_1-y_2 }{ x_1-x_2 }$$

alexandervonhumboldt2 · Answer

substitute the coordinates of points and solve