The generic equation of the line is given by:
[tex]y-yo = m (x-xo)
[/tex]
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:
[tex]m = -6
[/tex]
The line passes through the point (-2, -4), therefore, the ordered pair is:
[tex](xo, yo) = (-2, -4)
[/tex]
Substituting values we have:
[tex]y - (- 4) = - 6 (x - (- 2))
[/tex]
Rewriting we have:
[tex]y + 4 = -6 (x + 2)
[/tex]
Answer:
An equation of the line that passes through the point (-2, -4) with slope -6 is:
[tex]y + 4 = -6 (x + 2)[/tex]
