When 2 lines are parallel to each other mean than they have same gradient 
y=5x +2 
Gradient=5 
Let the parallel equation be y=5x +c 
Since this equation pass through (4,7), means that the point satisfy the parallel equation 
7=5(4)+c 
C=7-20=-13 
So the parallel equation required is y=5x-13 
Hope this can help.