Answer:
The slope of the line is [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To know the slope of a line we can have the equation or to know points of the line. In this case from the graph we can get to points (-4,-1) and (0,-3). Having this and using the equation to calculate the slope, we have:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Defining:
[tex](x1=-4,y1=-1)[/tex] and [tex](x2=0,y2=-3)[/tex]
Replacing this values in the initial equation, this is:
[tex]m=\frac{-3-(-1)}{0-(-4)}[/tex]
[tex]m=\frac{-2}{4} =-\frac{1}{2}[/tex]
The slope of the line is [tex]-\frac{1}{2}[/tex]
