Respuesta :

michaelyou805

Answer:

D=(0,8)

Step-by-step explanation:

We see point D lays on the y axis. That means its x value is 0.

Point d is on (0, y)

To figure out y, we need the slope or rise/run. The rise is 10, and the run is 6. The slope will be 10/6=5/3

So for every five units it rises, it goes horizontally or runs 3 units. We can approximate how much 5 units is, and then 3 units, and repeat until we arrive at point D.

I approximately got (0,8). That's probably it.

Please consider a brainliest!

sqdancefan

Answer:

  (0, 7.5)

Step-by-step explanation:

The diagonal line has a slope given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (10 -0)/(2 -(-6)) = 10/8 = 5/4

The y-intercept, point D, can be found from ...

  b = y -mx

  b = 10 -(5/4)(2) = 10 -5/2 = 7.5

The coordinates of D are (0, 7.5).

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Alternate solution

The two triangles shown are similar, so side lengths are proportional. The base lengths of the two triangles are 6 and 8, so the smaller is 6/8 = 3/4 of the larger. The height of the larger is 10, so the height of the smaller is ...

  D = (3/4)(10) = 7.5 . . . . . the y-coordinate

Point D is (0, 7.5).

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