Answer:
The slope m of the line is;
[tex]m=20[/tex]
Explanation:
Given the graph in the attached image.
We want to find the slope of the graph.
The slope can be calculated using the formula;
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking two points from the graph;
[tex]\begin{gathered} (x_1,y_1)=(0,500) \\ (x_2,y_2)=(25,1000)_{} \end{gathered}[/tex]
Substituting the coordinates, we have;
[tex]\begin{gathered} m=\frac{1000-500}{25-0} \\ m=\frac{500}{25} \\ m=20 \end{gathered}[/tex]
Therefore, the slope m of the line is;
[tex]m=20[/tex]
The y-intercept of the line is at;
[tex]y=500[/tex]
Writing the slope intercept form of the equation;
[tex]y=mx+b[/tex]
where;
m = slope
b = y-intercept
substituting the slope and the y intercept we have;
[tex]y=20x+500[/tex]
Therefore, the equation of the line is;
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