Question

The given line passes through the points (0, −3) and (2, 3).

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−1, −1)?

y + 1 = ------ (x + 1)

Answer 1

If the 2 lines are parallel, their slopes are the same.

The slope of both is
3+3
m = ---------- = 3
2 - 0

If the new line passes through the point (−1, −1), then the equation in point slope form is:

y+1 = 3(x+1).