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 paral

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)?

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Charlie 6 days 2021-09-10T14:23:50+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T14:25:35+00:00

    Answer:

    Step-by-step explanation:

    0
    2021-09-10T14:25:36+00:00

    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)

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