Given a line with equation 3x +7y = 21. write an equation in point-slope form of the line parallel to the given line through the point (4, –

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Given a line with equation 3x +7y = 21. write an equation in point-slope form of the line parallel to the given line through the point (4, -5).

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    2021-11-25T21:15:25+00:00

    Answer:

    The equation of the line is y = -3/7x – 23/7

    Step-by-step explanation:

    To start we need to find the slope of the original line. We can do this by solving the equation for y.

    3x + 7y = 21

    7y = -3x + 21

    y = -3/7x + 3

    Now we know the slope to be -3/7. Since parallel lines have same slopes, we know the new line also will have a -3/7 slope. We can now use that along with the given point in point-slope form to find the equation.

    y – y1 = m(x – x1)

    y + 5 = -3/7(x – 4)

    y + 5 = -3/7x + 12/7

    y = -3/7x – 23/7

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