Respuesta :

Hello,
Point-slope form is [tex]y - y_{1} = m(x - x_{1})[/tex].

Since they already give us the slope, which is 4, and a point from the equation, which is (4, -9), [tex] x_{1} = 4[/tex] and [tex] y_{1} = -9. [/tex]. Then, we can substitute the values into our point-slope formula.

y - (-9) = 4(x - 4), which is equal to y + 9 = 4(x - 4). 

Therefore, your final answer is A, y + 9 = 4(x - 4). 
JeanaShupp

Answer: B. [tex](y+9)=-4(x-4)[/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) = (4,-9)

Then , the point slope form of the given line will be :-

[tex](y-(-9))=-4(x-4)\\\\\Rightarrow\(y+9)=-4(x-4)[/tex]