Question

Write this as an equation in point-slope form Please answer as quickly as possible. 50 pts!!!!!

Answer 1

The answer is:   "  y − 1  =  - 3(x + 2) " .
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Explanations: 
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Note:  The "point-slope form" of the equation of a line is:

                  →     " y − y₁ = m(x −x₁) " . 

We are given the slope,  m" , is:  " - 3 " ;  

We are given a point on the line [on the graph that is represented by this equation];  with the coordinates:  " (-2 , 1) " ;  

                          →   which is in the format: " (x₁ , y₁) " ;
                                      
                          →   As such:  " x₁  = -2 "  ;   " y₁  =  1 " ; 
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As aforementioned, the equation of a line in "point-slope form" ;  is:  
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                          →    " y − y₁ = m(x − x₁) " ;  

in which:
 
 →  "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ;  AND: 

 →   " m "  =   the slope of the line [represented by the equation] " ; 

We proceed by substituting our known values for "m" ;  "y₁" ; and "x₁" :
 
 →       " y − 1  =  - 3(x − (-2) ) "  ;   
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 →   Rewrite as:
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 →      "  y − 1  =  - 3(x + 2) "  ;  

 →    which is our answer;  since it is written in "point-slope form" .
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