Find the equation of the line in stardard form (-5,-1) and (5,7)

I can get it to
but I can not figure it our from here

answer 8x-5y=-30

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  1. looks like your slope is wrong
    slope = (7+1)/(5+5) = 8/10 = 4/5

    y = mx + b, and using the point (5,7) it would be
    7 = (4/5)(5) + b
    b = 3

    so y = (4/5)x + 3

    clear the fraction by multiplying by 5

    5y = 4x + 15

    or 4x - 5y = -15 in standard form

    the answer you supply is not correct,
    (5,7) doesn't even satisfy that equation.

    5y = 8x -

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