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tamaranim1 [39]
3 years ago
9

What is the slope intercept form of 5x-y=9

Mathematics
2 answers:
Korolek [52]3 years ago
7 0
Slope-intercept:
y=mx+b

5x-y=9
5x=y+9
y+9=5x
y=5x-9

Slope-int: y=5x-9
ArbitrLikvidat [17]3 years ago
6 0
The answer:   " y = 5x − 9 " .
___________________________________________
Explanation: 
___________________________________________
Given:  " 5x <span>− y = 9 " ; 
___________________________________________
Write  in slope intercept form:
___________________________________________
  " y = mx + b " ;
___________________________________________
         in which "y" is on the left-hand side of the equation, "on its own" (that is, with no "written coefficient")—other than the "implied coefficient of 1 " ;
  "m" is the number, or fraction (positive or negative) representing the slope, if there is one—and "m" is the coefficient of "x"  and "b" is the "y-intercept", if there is one—and may be positive or negative.
_____________________________________________
Given:
__________________
  </span>5x − y = 9 ;
<span> __________________
Multiply the entire equation by "-1" ; to get rid of the "</span>− y " ;
____________________________________________________ <span>
   -1 * {</span>5x − y = 9 } ;
____________________________________________________
   -5x + y = -9 ;

↔  Rewrite as:  y + (-5x) = -9 ;

↔  Rewrite as:  y − 5x  =  -9 ;
___________________________________________
           Add  "5x" to both sides of the equation; to isolation "y" on the left-hand side of the equation:
___________________________________________
             y − 5x + 5x  =  -9 + 5x ; 

to get:    y = -9 + 5x  ;

↔ Rewrite as:  y = 5x + (-9) ;

↔ Rewrite as:  y = 5x − 9 ;
_____________________________
This equation is written is "slope-intercept form"; that is:
___________________________
       " y = mx + b "  ; in which;
                                      m = the slope = 5 ; 
                                      b = the y-intercept =  -9 ;
_______________________________________________
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