Solution 

Let us test each of the coordinates points 
 at ( 2, 4 ) 
at x=2

No agreement with the y-coordinate 
Let us test the second coordinate point ( 4 , 7 )
at x = 4 

No agreement with the y-coordinate 
Let us test the third coordinate point (5, 12 ) 
at x= 5 

No agrement with the y-coordinate 
Based on the information you have provided in the question , y= - 2.5x - 1.5 is not a correct regression equation for the line .