Question 362122
If you have 2 points you can write the equation of this line such that;
First you will name the points as x1,y1 and x2,y2 such that in your question (1/2,-1) is (x2,y2) and (-2/3,6) is (x1,y1) and (x,y) is unknown.

There are many correlations for example I choose;

{{{ (x2-x) / (x2-x1) = (y-y2) / (y2-y1) }}} 

{{{ (1/2-x) / (1/2-(-2/3)) = (y-(-1)) / (-1-6) }}} 

{{{ (1/2-x) / (1/2+2/3) = (y+1) / (-7) }}} 

{{{ (1/2-x) / (5/6) = (y+1) / (-7) }}} 


We have to put this equation like y = mx + n where m is the slop.

It's {{{ y = (42/5)x + 16/5 }}} so m = +42/5

Rf.