Question 1071484
The slope, {{{m}}} is
{{{m=(2-6)/(8-6)=(-4)/2=highlight(-2)}}}
 
If you need a formula:
The slope of the line through {{{A(x[A],y[A])}}} and {{{B{x[B],y[B])}}} is
{{{m=(y[B]-y[A])/(x[B]-x[A])}}} .
 
If you need a tip:
1) To make sure you do not get numbers mixed up,
start with {{{m}}}{{{"="}}}{{{("____")/("____")}}} .
2) Pick one of the points (it does not matter, and write its coordinates in,
y on top, x in the bottom, each followed with a minus sign,
to get something like
{{{m}}}{{{"="}}}{{{("2 - ___")/("8 - ___")}}} .
3) fill the blanks with the coordinates of the other point,
y on top, x in the bottom, to get something like
{{{m}}}{{{"="}}}{{{("2 - 6")/("8 - 6")}}} .
 
If you need understanding:
The slope means the rate of increase in the y-coordinate,
meaning
the increase in y-coordinate per unit increase of the x-coordinate.
When going from (6,6) to (8,2) , x increases from 6 to 8,
an increase of {{{8-6=2}}} .
At the same time y changes from 6 to 2,
an increase of {{{2-6=-4}}} ,
which you may want to call a decrease of 4.
Since a straight line has the same slope throughout,
an increase of {{{-4}}} in {{{y}}} as {{{x}}} increases by {{{2}}} ,
means that for every unit increase in x, the increase in y is {{{-2}}} ,
the ratio of y increase to x increase, {{{(-4)/2=-2}}} .