Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
To find the slope of a line we need two points through which it is passing.
From the figure, we can see that the line passes through (0,-2) and (4,-1).
Slope of a line passing through two points [tex](x_{1},y_{1})\ and\ (x_{2},y_{2})[/tex] is given by the formula:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Here x1=0 y1=-2 x2=4 y2=-1
Slope = [tex]\frac{-1-(-2)}{4-0}=\frac{1}{4}[/tex]
Hence the slope of the line is [tex]\frac{1}{4}[/tex]
