I notice that all the choices are written in Point-Slope Formula. This is a key factor in answering your question.
So usually we solve for slope, plug into point-slope form, then solve for slope intercept.
We only have to do the first 2 steps:
Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{-4-2}{-1-(-6)} = \frac{-6}{5} [/tex]
Slope: [tex]- \frac{6}{5} [/tex]
Point-slope formula: [tex]y - y1 = m(x-x1) [/tex] where m is equivalent to slope.
Plug in values: [tex]y -2 = -\frac{6}{5}(x + 6) [/tex]
We can also rewrite the equation like this using the other coordinates.
Plug in value: [tex]y + 4 = - \frac{6}{5}(x + 1)[/tex]