Answer: [tex](y-7)=-4(x+2)[/tex]
Step-by-step explanation:
The equation of a line in point slope form with slope m and passing through point (a,b) is given by :-
[tex](y-b)=m(x-a)[/tex]
Given : The slope of the line : m= -4
The point from which line is passing : (a,b) =(-2,7)
Then , the point slope equation of a line with slope -4 that contains the point (-2,7) will be :-
[tex](y-7)=-4(x-(-2))\\\\\Rightarrow\(y-7)=-4(x+2)[/tex]
