For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
According to the statement data, we have that the line goes through the following points:
[tex](x_ {1}, y_ {1}) :( 5,0)\\(x_ {2}, y_ {2}) :( 0,2)[/tex]
Substituting we have:
[tex]m = \frac {2-0} {0-5} = \frac {2} {- 5} = - \frac {2} {5}[/tex]
Thus, the slope of the line is: [tex]- \frac {2} {5}[/tex]
Answer:
The slope of the line is:[tex]- \frac {2} {5}[/tex]
