Answer
$m=-1$
Work Step by Step
With the given points,
\begin{array}{l}\require{cancel}
y_1=
6
,\\y_2=
7
,\\x_1=
3
,\text{ and }\\ x_2=
2
.\end{array}
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope, $m,$ of the line is
\begin{array}{l}\require{cancel}
m=\dfrac{y_1-y_2}{x_1-x_2}
\\\\
m=\dfrac{6-7}{3-2}
\\\\
m=\dfrac{-1}{1}
\\\\
m=-1
.\end{array}