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The equation, in point-slope form of the line that is parallel to the given line and passes through the point (-1, -1) is y + 1 = 3(x + 1).
<u>Solution:</u>
Given that, a line passes through (0, -3) and (2, 3).
We have to find the line equation which is parallel to above line and passes through (-1, -1).
Now, let us find the slope of the given line.
So, slope of given line is 3,
Then, slope of required line is also 3, as slopes of parallel lines are equal.
Then, required line equation in point – slope form is given as:
Hence, the line equation is y + 1 = 3(x + 1).