The slope of the function from points (-4, -17) and (-2, -14.5) is
[tex]m=\frac{-14.5--17}{-2--4}=\frac{5}{4}[/tex]
and using the point (-4, -17) we find the y-intercept
[tex]-17=\frac{5}{4}(-4)+b[/tex][tex]b=-12[/tex]
Hence, the equation of the line is
[tex]y=\frac{5}{4}x-12[/tex]
This looks like none of the choices given. But in the point-slope form, we have choice B which tells us that the line passes through -(4, -17) which it indeed does; therefore, the correct choice is the choice B.
