Answer
The slope is \[0\] and line is horizontal.
Work Step by Step
Let \[\left( {{x}_{1}},{{y}_{1}} \right)=\left( -3,4 \right)\]and\[\left( {{x}_{2}},{{y}_{2}} \right)=\left( 6,4 \right)\].
Slope of line can be find by:
\[m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}\]
Substitute the values to get,
\[\begin{align}
& m=\frac{4-4}{6-\left( -3 \right)} \\
& =\frac{0}{9} \\
& =0
\end{align}\]
Since, the slope is zero.
Therefore, the line is horizontal.
