Question

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

choices are:

y+4 =-6(x+4)
y+2=-6(x+2)
y+2=6(x+4)
y+4=-6(x+2)

Answer 1

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).

Answer 2

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)`