Firstly, how many units apart is -7 from -1 (the x-coordinates)? That would be 6 units away. Multiply 5/6 by 6:
[tex]\frac{5}{6}\times \frac{6}{1}=\frac{30}{6}=5[/tex]
Next, how many units apart is 2 from -4? That would be, again, 6 units. Multiply 5/6 by 6.
[tex]\frac{5}{6}\times \frac{6}{1}=\frac{30}{6}=5[/tex]
Now, since from -7 to -1 it's increasing, add 5 to -7:
[tex]-7+5=-2[/tex]
-2 is the x-coordinate of M.
Next, since from 2 to -4 it's decreasing, subtract 5 from 2:
[tex]2-5=-3[/tex]
-3 is the y-coordinate of M.
Putting it together, M is at (-2,-3), or B.
