Me solve will mark as brainliest if answered correctly amnd seriously k/2+1-1k=-2k

  k = "- "  ; or, write as:   " -0.667 " .

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Given:

(k/2)  + 1  -  1k  = -2k ;  
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Add "1k" to each side of the equation:

(k/2)  + 1  -  1k  + 1k  =  -2k + 1k  ;

to get:

(k/2)  + 1  =  -1k ; 

Multiply the ENTIRE EQUATION (both sides) by "2" ;  
               to eliminate the "fraction" ;

2 * [ (k/2) + 1 = -1k ] ;

to get:

k + 2 =  -2k  ;

Subtract "k" from each side of the equation;

k + 2 - k = -2k - k ;

to get:

2  =  -3k ;

↔  

-3k = 2 ;

Divide each side of the equation by "-3" ; to isolate "k" on one side of the equation ; &  to solve for "k" ;

-3k / 3  = 2/-3 ;

to get:

k = -  ; or, write as:   " -0.667 "
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the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

answer: the slope is equal -1.