You can see that this line passe through the points (-4,-2) and (4,3).
The slope of the line passing through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is
[tex]\dfrac{y_2-y_1}{x_2-x_1}.[/tex]
Thus, the slope is
[tex]\dfrac{3-(-2)}{4-(-4)}=\dfrac{5}{8}.[/tex]
Then the equation of the line is
[tex]y-3=\dfrac{5}{8}(x-4),\\\\y=\dfrac{5}{8}x+\dfrac{1}{2}.[/tex]
Answer: correct choice is C.
