What is the point-slope form of the equation for the line with a slope of 6/19 that passes through the point (−1,75)?

Question

What is the point-slope form of the equation for the line with a slope of 6/19 that passes through the point (−1,75)?

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Ngọc Diệp 1 month 2021-08-12T13:20:02+00:00 1 Answers 0 views 0

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    2021-08-12T13:21:13+00:00

    Answer:

    The answer is

    y =  \frac{6}{19} x +  \frac{1431}{19}

    Step-by-step explanation:

    To find an equation of a line in point slope form when given the slope and a point we use the formula

    y -  y_1 = m(x -  x_1)

    where

    m is the slope

    ( x1 , y1) is the point

    From the question the point is (−1,75) and slope 6/19 is

    y - 75 =  \frac{6}{19} (x + 1) \\ y - 75 =  \frac{6}{19} x +  \frac{6}{19}  \\ y =  \frac{6}{19} x +  \frac{6}{19}  + 75

    We have the final answer as

    y =  \frac{6}{19} x +  \frac{1431}{19}

    Hope this helps you

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