Answer to Question #23824 in Geometry for michele
(x-x2)/(x1-x2) = (y-y2)/(y1-y2).
In our case,
(x-(-4))/(7-(-4)) = (y-5)/(6-5),
(x+4)/11 = y-5.
So, the equation for the line is
y = x/11 + 59/11,
therefore the slope of the line is 1/11.
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