Though it is not stated, it is presumed that (k, k+1) and (k-3, 3k+4) are the two points on a straight line, with slope 2, and it is required to find the equation of the line in the point slope form.

 

Accordingly the slope of the line will be 2=

                                                                   = .   This can be simplified to

                                                             -6 = 2k+3, giving k= -9/2

 

The point k, k+1  would thus be -9/2, -7/2.   The point slope form of the equation of line would thus be  y+7/2= 2 (x+9/2)

 

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