What is the equation of the line between $(5,7)$ and $(14,4)$ ?

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Answer 1 · 2015-11-20T03:28:16

$y=(-1)/3x -10$

Since we are given two points, we're gonna use the two-point slope form:

$(y-y_2) = (y_2-y_1)/(x_2-x_1)(x-x_2)$

Substitute the values:

$(y-4) = (4-7)/(14-5)(x-14)$

$(y-4) = (-3)/(9)(x-14)$

$y-4=(-1)/3x-14$

$y=(-1)/3x -14+4$

$y=(-1)/3x -10$

What is the equation of the line between (5,7)(5,7) and (14,4)(14,4)?