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Answer :

SOLUTION

THe slope of a line is given by

[tex]\text{slope}=\frac{\text{changes in y}}{Changes\text{ in x}}[/tex]

Using the point given in the image

[tex](0,0)\text{ and (5,2)}[/tex]

We have

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

Where

[tex]\begin{gathered} x_1=0,x_2=5 \\ y_1=0,y_2=2 \end{gathered}[/tex]

Then substitute into the formula, we have

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

Therefore, the slope of the line is 2/5