through:(-4, 1 ), slope = -6

Answer 1

Hello, Briana

 

  I will take a different approach to solve this problem. I am going to use the point slope form. You might recall the point slope form is

y-y1= m(x-x1), where m is the slope, incline, of the line and (x1, y1) represents a point that lies on the line.  So, in this problem, I will use -4 for x1 and 1 for y1.  Substituting into the point slope form

 

y- y1= m(x-x1)

y-(1)= (-6)[x-(-4)]               x-(-4) becomes x+ 4.

y-1   = -6(x+4)                    Using the Distributive Property

y-1   = -6x -24                     Adding 1 to both sides

  +1           +1

   y   =  -6x -23                    This is the Slope-Intercept Form

   + 6x    +6x                        Adding six x to both sides

 6x + y  =- 23                       This is the Standard Form

 

Well, I hope this helps.  Don't forget to rate.

 

D.Y. T.

Answer 2

1 = (-6)(-4) + b

 

b = -23

 

y = -6x - 23