Rewrite the equation in standard form of the line that passes through the given points (-1,-4); (1,6)

Question

Rewrite the equation in standard form of the line that passes through the given points (-1,-4); (1,6)

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Harper 2 weeks 2021-09-13T15:01:29+00:00 1 Answer 0

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    2021-09-13T15:02:43+00:00

    Answer:

    5x – y = -1

    Step-by-step explanation:

    The point-slope form of an equation of a line:

    y-y_1=m(x-x_1)

    m – slope

    The formula of a slope:

    m=\dfrac{y_2-y_1}{x_2-x_1}

    ========================================

    We have the points (-1, -4) and (1, 6). Substitute:

    m=\dfrac{6-(-4)}{1-(-1)}=\dfrac{10}{2}=5

    y-(-4)=5(x-(-1))\\\\y+4=5(x+1)

    Convert it to the standard form Ax+By=C:

    y+4=5(x+1)          use the distributive property

    y+4=5x+5         subtract 4 from both sides

    y=5x+1           subtract 5x from both sides

    -5x+y=1        change the signs

    5x-y=-1

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