Question

choose the equation below that represents the line passing through the point (-2 -3) with a slope of -6

Answer 1

The equation of the line in its generic form is given by:

`y-yo = m (x-xo)`

Where,

m: slope of the line

(xo, yo): point that belongs to the line

Substituting values we have:

`y - (- 3) = -6 (x - (- 2))`

Rewriting the equation we have:

`y + 3 = -6 (x + 2)`

`y + 3 = -6x-12`

`y = -6x-12-3`

`y = -6x-15`

Answer:

The equation of the line is given by:

`y = -6x-15`