Answer:
D = (0, 5 2/3)
Step-by-step explanation:
You are given two points and the slope of the line. You can write the point-slope form of the equation for it, then solve for the y-intercept.
For slope = 2/3 and point (-4, 3), the equation of the hypotenuse line can be written as ...
... y = (2/3)(x -(-4)) +3
... y = (2/3)x +8/3 + 3
... y = (2/3)x +17/3
So, the y-intercept (point D) is at y = 17/3 = 5 2/3. Of course, the x-coordinate of D is 0, so the ordered pair is ...
... D = (0, 5 2/3)