Given values of x and y  are corresponding. Consider the rise(change in y value) from 6 to 2 that is 2 -6 equals -4 then run (change in x value)   is  from 2 to -1 that is -1-2 equals -3. Hence the slope is rise /run  which  means -4/-3 or 4/3.

 

This can be verified from the subsequent rise and run. Consider rise from 2 to -2 and corresponding run from -1 to -4.  Rise is -2-2 equals -4 and Run is -4(-1) equals -3. Hence slope is -4/-3 or 4/3.

 

This can be verified by considering any corresponding pair of x and y values.

 

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