Question

Write an equation of the line that passes through the point (-2,-4) with slope -6

Answer 1

The generic equation of the line is given by:
 $y-yo = m (x-xo)$
 Where,
 m: slope of the line
 (xo, yo): ordered pair that belongs to the line.
 We have then that the slope of the line is:
 $m = -6$
 The line passes through the point (-2, -4), therefore, the ordered pair is:
 $(xo, yo) = (-2, -4)$
 Substituting values we have:
 $y - (- 4) = - 6 (x - (- 2))$
 Rewriting we have:
 $y + 4 = -6 (x + 2)$
 Answer:
 An equation of the line that passes through the point (-2, -4) with slope -6 is:
 $y + 4 = -6 (x + 2)$

Answer 2

The answer is D, y+4 = -6(x+2).
Just plug the information into the point slope formula which is, y-y1 =m(x-x1).