Answer
negative
Explanation
Let's find the slope of our line using the slope formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where
[tex]m[/tex] is the slope of the line
[tex](x_{1},y_{1})[/tex] are the coordinates of the first point on the line
[tex](x_{2},y_{2})[/tex] are the coordinates of the second point
From the graph we can get the points (-2, 1) and (2, -1), so [tex]x_{1}=-2[/tex], [tex]y_{1}=1[/tex], [tex]x_{2}=2[/tex], and [tex]y_{2}=-1[/tex]. Let's replace the values in our formula to find [tex]m[/tex]:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-1-1}{2-(-2)}[/tex]
[tex]m=\frac{-2}{2+2}[/tex]
[tex]m=\frac{-2}{4}[/tex]
[tex]m=-\frac{2}{4}[/tex]
[tex]m=-\frac{1}{2}[/tex]
The slope of the graph of the linear function is [tex]-\frac{1}{2}[/tex]; since [tex]-\frac{1}{2}[/tex] is a negative number, the slope of the graph is negative.
