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)?

Respuesta :

Answer:

y - 1 = (1/3)(x + 1)

Step-by-step explanation:

Look carefully at (0, -3) and (2, 3).  As we move from the first to the second, x increases by 2 (from 0 to 2) and y increases by 6 (from -3 to 3).  Therefore, the slope of this line is m  = rise / run, or m = 6/2, or m = 1/3.  Both lines have the same slope, 1/3, because they are parallel.

Now let's apply the point-slope form of the equation of a straight line.  Here the point in question is (-1, 1) and the slope is 1/3.  Therefore, we have:

y - 1 = (1/3)(x + 1)

Answer:

Step-by-step explanation:

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