In order to find the correct equation, let's use the slope-intercept form of the linear equation:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
If the slope is 7/3, we have m = 7/3.
Now, to find the value of b, let's use the point (-3, -8) on the equation:
[tex]\begin{gathered} -8=\frac{7}{3}(-3)+b\\ \\ -8=-7+b\\ \\ b=-8+7\\ \\ b=-1 \end{gathered}[/tex]
Therefore the equation is y = (7/3)x - 1 and the correct option is B.
