Answer:
The slope of the line is;
[tex]m=\frac{1}{2}=0.5[/tex]
Explanation:
Given the attached graph.
Recall that the formula for calculating the slope m of a line is;
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, let us select two points on the line;
We have;
[tex]\begin{gathered} (2,1)\text{ } \\ \text{and} \\ (4,2) \end{gathered}[/tex]
The slope can then be calculated by substituting this points into the formula;
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-1}{4-2} \\ m=\frac{1}{2}=0.5 \end{gathered}[/tex]
Therefore, the slope of the line is;
[tex]m=\frac{1}{2}=0.5[/tex]
