Answer :

The equation of a line can be written as

[tex]y=mx+b[/tex]

On the graph,

[tex]\begin{gathered} \text{Where x=0, y=5} \\ (x_1,y_1)=(0,5) \\ \text{Where x=2, y=0} \\ (x_2,y_2)=(2,0) \end{gathered}[/tex]

The formula to find the slope, m, of a straight line is given as,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the points into the equation above,

[tex]m=\frac{0-5}{2-0}=\frac{-5}{2}[/tex]

Hence, the slope, m, of the straight line is -5/2