What is the equation of the line passing through $(51,2)$ and $(14,56)$ ?

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Answer 1 · 2018-04-07T02:20:35

$color(indigo)(37y + 54x = 2828$

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Given $(x_1, y_1) = (51, 2), (x_2, y_2) = (14, 56)$

$m = (y_2 - y_1) / (x_2 - x_1) = (56 - 2) / (14-51) = -54/37$

Equation of the line is $(y - y_1) = m * (x - x_1)$

$(y - 2) = -(54/37) * (x - 51)$

$37y - 74 = -54x + 2754$

$37y + 54x = 2754 + 74 = 2828$

What is the equation of the line passing through (51,2)(51,2) and (14,56)(14,56)?