To find the slope, you use the slope formula (m):
 and plug in the two points
    and plug in the two points
(-3, 4) = (x₁, y₁)
(2, -1) = (x₂, y₂)

 [two negatives cancel each other out and become positive]
       [two negatives cancel each other out and become positive]


m = -1        The slope is -1
 
        
                    
             
        
        
        
Answer:  The number is:  "2 " .
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Explanation:
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Write the expression; which is an equation, as follows:
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     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
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Note:  
If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
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Rewrite as:  " 4x <span>− 12 = -2x " ;
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     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:
                      4x − 12 + 12 + 2x = -2x + 12 + 2x ;
           to get:    6x  = 12  ;
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 Now, divide each side of the equation by "6" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;
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                         6x / 6  =  12 / 6 ;
                    to get:    x = 2 .
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Answer:  The number is:  "2 " .
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Let us check our answer, by plugging in "2" for "x" in our original equation:
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        →   " 4x − 12 = 2(-x) " ;
  Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;
        →   " 4(2) − 12 = ?  2(-2) ?? 
        →    8 − 12 = ?  -4 ? ;
 
        →    -4 = ? -4 ??  Yes!
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Answer:
b. x>1
Step-by-step explanation:
2/3+x/3>1
Multiply the inequality by 3 to get rid of the fractions
3(2/3+x/3)>1*3
2 +x >3
Subtract 2 from each side
2+x-2 >3-2
x>1