The slope of the line below is -4 use the coordinates of the label point to find a point slope equation of the line (4,-9)

Equation is  .

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 : .

Where,  m = slope  ;

= Coordinates .

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

Then equation become  

.

.

Therefore, Equation is  .

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c