To answer this question, we need to remember that the slope of a line is given by the next formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, we have two pairs of points: (0, 1), the y-intercept of the line, and the other point is (2, 4).
We can label both coordinates as follows:
• (0, 1) ---> x1 = 0, y1 = 1
,
• (2, 4) ---> x2 = 2, y2 = 4
Now, we can apply the given formula:
[tex]m=\frac{4-1}{2-0}\Rightarrow m=\frac{3}{2}[/tex]
Therefore, the slope of the line, written as an improper fraction is:
[tex]m=\frac{3}{2}[/tex]
