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 (2, 4), (3, 6), and (5, 10). Two triangles have their longest sides with endpoints along the line, one vertical leg, and one horizontal leg. The first triangle has a longest side with endpoints at (2, 4) and (3, 6). The second triangle has a longest side with endpoints at (5, 10) and (3, 6).

Answer 1

or

Answer 2

@dan815

Answer 3

@freckles

Answer 4

@Hero

Answer 5

Use rise over run to calculate the slope. Find the difference between two y-coordinates and then divide that by the difference of the x-coordinates.

Answer 6

im still kinda confused

Answer 7

will fan and medal

Answer 8

Take two different point on the line. Let's use (2,4) and (3,6). Subtract one y value from the other and divide that difference by the difference in the x values. This will be\[(6-4)/(3-2)\]

Answer 9

Both hypotenuses will have the same slop because they are on the same line.

Answer 10

which is 2/1

Answer 11

Exactly

Answer 12

so thats the answer