Respuesta :

Point slope form: y1-y2=m(x1-x2)

Given the slope -4 and the set of coordinates (4,-9),

y+9=-4(x-4)

I plugged in the slope and coordinates. Since -9 came after a subtraction sign, I corrected the subtraction to addition, leaving the above point slope form equation.

I hope this helps :)


Answer:

Equation is  [tex]y +9 = -4 (x - 4)[/tex].

Step-by-step explanation:

Given : The slope of the line below is -4 use the coordinates  (4 , -9)

To find :  find a point slope equation of the line.

Solution : We have given

Slope = -4 .

Coordinates = ( 4 , -9) .

Slope form of a equation of line : [tex]y - y_{1} = m (x - x_{1})[/tex].

Where,  m = slope  ;

[tex] y_{1} ,x_{1})[/tex] = Coordinates .

We have given  m = -4 ,  Coordinates ( 4 , -9) .

Then equation become  

[tex]y - (-9) = -4 (x - 4)[/tex].

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

Therefore, Equation is  [tex]y +9 = -4 (x - 4)[/tex].