Question

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

On a coordinate plane, a line goes through (0, negative 3) and (2, 3). A point is at (negative 1, negative 1).

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

Answer 1

Slope of the given line: m = (3 - (-3)) / (2 - 0) = 6/2 = 3.
Using point-slope form with point (-1, -1): y - (-1) = 3(x - (-1)), i.e.

y + 1 = 3(x + 1).