Though you did not post the scatter plot, I was able to figure out the scatter plot.
From the scatter plot, the labelled points are (32, 23) and (43, 30).
The equation of a line passiong through the points (32, 23) and (43, 30) is given by:
[tex] \frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1} \\ \\ \Rightarrow \frac{y-23}{x-32} = \frac{30-23}{43-32} = \frac{7}{11} \\ \\ \Rightarrow y-23= \frac{7}{11} (x-32)= \frac{7}{11} x- \frac{224}{11} \\ \\ \Rightarrow y=\frac{7}{11} x- \frac{224}{11}+23=\frac{7}{11} x+ \frac{29}{11}[/tex]
Therefore, the equation that represents the linear model is
[tex]y=\frac{7}{11} x+ \frac{29}{11}[/tex]
