First, notice that the line crosses the y-axis at the point (0,2), then, the y-intercept is:
[tex]b=2[/tex]
now, given the points (-8,1) and (8,3), we can find the slope with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
in this case, we have the following:
[tex]\begin{gathered} (x_1,y_1)=(-8,1) \\ (x_2,y_2)=(8,3) \\ \Rightarrow m=\frac{3-1}{8-(-8)}=\frac{2}{8+8}=\frac{2}{16}=\frac{1}{8} \\ m=\frac{1}{8} \end{gathered}[/tex]
therefor, the slope is m = 1/8 and the y-intercept is b = 2
The equation in slope-intercept form is:
[tex]y=\frac{1}{8}x+2[/tex]
