We have to identify the line that passes through points (-3,-23) and (5,9).
We can calculate the slope of the line as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{9-(-23)}{5-(-3)}=\frac{9+23}{5+3}=\frac{32}{8}=4[/tex]Then, we can write the equation in slope-point form as:
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-9=4(x-5) \end{gathered}[/tex]The equation of the line is y - 9 = 4(x - 5).
Answer: None of the other answers are correct