ANSWER:
[tex]y=\frac{4}{7}x+3[/tex]
STEP-BY-STEP EXPLANATION:
We can calculate the equation of the line using the two blue dots.
The equation in its slope-intercept form is as follows:
[tex]\begin{gathered} y=mx+b \\ \text{ where m is the slope and b is y-intercept} \end{gathered}[/tex]
To calculate the slope, we need to identify the blue points that would be: (0, 3) and (7, 7)
We calculate the slope as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-3}{7-0}=\frac{4}{7}[/tex]
We already know the y-intercept because it is explicit in the graph and it is (0,3), therefore b is 3, we substitute and the equation would be:
[tex]y=\frac{4}{7}x+3[/tex]
