I think this means that C(-3.6,-3.4) divides AB in the ratio 2:3 and A is (-2,-1). The graph below shows the coordinates of A and C. We have to find the coordinates of B.
D is the point (-2,-3.4) because it has the x coordinate of A and the y coordinate of C.
From the given information we can create the right triangle ACD, where the length of CD is the difference between the x coordinates of A and C=|-3.6-(-2)|=|-3.6+2|=1.6.
Similarly, AD has length given, by the difference of y coordinates |-3.4-(-1)|=|-3.4+1|=2.4.
AC:CB=2:3 so AC/CB=2/3, so 3AC=2CB, or CB=3AC/2. AC/AB=AC/(AC+CB).
Now substitute for CB=3AC/2: AC/(AC+3AC/2)=AC/(5AC/2)=2AC/(5AC)=2/5. Therefore, AD/AE=CD/BE=2/5 (similar triangles rule).
Next we insert known values: 2.4/AE=1.6/BE=2/5. Therefore, 2.4/AE=2/5, 12=2AE, so AE=12/2=6; 1.6/BE=2/5, 8=2BE, BE=4.
From these we can find the coordinates of B. The distance of E from the y-axis is the x coordinate of E=-2 (to the left of the y-axis), and B is 4 units further to the left, making it more negative=-2-4=-6. The distance of E from the x-axis is the y coordinate of E=-7 (E is the point (-2,-7)), and B has the same y-coordinate, so B is (-6,-7). The graph makes this clear.