First using the given points we need to find the slope of the line.
[tex]Slope=m= \frac{Rise}{Run} \\ \\
m= \frac{-20-7}{8-(-4)}= \frac{-27}{12}= \frac{-9}{4} [/tex]
So, the slope of the line is -9/4
Using the slope and a point we can write the equation of line in slope-intercept form as:
[tex]y-7=- \frac{9}{4}(x-(-4)) \\ \\
y= \frac{-9}{4}x-9+7 \\ \\
y=\frac{-9}{4}x-2[/tex]
So the correct answer to this question is option B
