If it doesn't matter whether the points are integers or not you can just pick a number for either y or x and solve for the other variable. For example, if you pick 3 to be your x, plug it in and then solve for y. Start out with:

Plug in 3 for x:

. Then,

. Subtract 21 from both sides and then divide by -3 on both sides. You end up with y=-7 so one of your points is (3, -7)
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Answer:
x = 7 1/3
Step-by-step explanation:
The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...
(x -2) = (2/3)(8)
3(x -2) = 16 . . . . . multiply by 3 to clear fractions
3x -6 = 16 . . . . . . eliminate parentheses
3x = 22 . . . . . . . . add 6; next divide by 3*
x = 22/3 = 7 1/3 . . . . . feet
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* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.
Answer: 6:5
Step-by-step explanation: