Question 1119600
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Solve for the x and y components separately.<br>
The difference between the two x coordinates is 3-(-6) = 3+6 = 9; the difference between the two y coordinates is 8-2 = 6.<br>
Divide each of those differences by 3: 9/3 = 3; 6/3 = 2.<br>
From (-6,2) to (3,8) you move 9 in the x direction and 6 in the y direction.  For each "step" you take, you want to move 1/3 of those distances: 3 in the x direction (right) and 2 in the y direction (up).<br>
3 right and 2 up from the starting point (-6,2) is (-3,4); 3 right and 2 up from (-3,4) is (0,6).  And to check your calculations, 3 right and 2 up from (0,6) is (3,8), which is where it is supposed to be.<br>
Answer: (-3,4) and (0,6) are the trisection points.