Question

What is the point slope equation of a line with slope -4 that contains the point (-2,7)?

Answer 1

Answer: $(y-7)=-4(x+2)$

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 :-

$(y-b)=m(x-a)$

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 :-

$(y-7)=-4(x-(-2))\\\\\Rightarrow\(y-7)=-4(x+2)$

Answer 2

Point slope form: (y-y1)=m(x-x1)

Answer:
(y-7)=-4(x+2)