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 = + 1)

Note:
If a straight line passes through the points (x1, y1) and (x2, y2), its slope is
m = (y2 - y1)/(x2 -x1).

The given line passes through the points (0, -3) and (2, 3).
Calculate its slope.
m = [3 - (-3)]/[2 - 0] = 6/2 = 3.

Note:
If a straight line has slope = m, and it passes through the point (x1, y1) the equation for the line in point-slope form is
y - y1 = m(x - x1).

A line parallel to the given line will have the same slope of 3.
It passes through the point (-1, -1).

In point-slope form, the parallel line is 
y - (-1) = 3(x - (-1))
y + 1 = 3(x+1)

 y + 1 = 3(x+1)

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