Answer :
The slope of the line that passes through the points (x1, y1) and (x2, y2) is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Since the line passes through points (0, 5) and (5, 7), then
x1 = 0 and x2 = 5
y1 = 5 and y2 = 7
Substitute them in the rule above
[tex]\begin{gathered} m=\frac{7-5}{5-0} \\ m=\frac{2}{5} \end{gathered}[/tex]The slope of the line is 2/5