Answer:
[tex]-\dfrac{1}{2}[/tex]
Step-by-step explanation:
In the given graph of straight line to find the slope of the line.
First we choose two points on line and then using formula to find the slope.
Formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Point on line from graph: (2,-1) and (-2,1)
[tex]x_1\rightarrow 2[/tex]
[tex]y_1\rightarrow -1[/tex]
[tex]x_2\rightarrow -2[/tex]
[tex]y_2\rightarrow 1[/tex]
Substitute the points into formula
[tex]m=\dfrac{1+1}{-2-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Hence, The slope of the line is [tex]-\dfrac{1}{2}[/tex]
