What is the equation of the line between $(-9,2)$ and $(4,3)$ ?

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Answer 1 · 2018-04-13T05:44:54

$color(violet)("Equation of the line is "13y - x = 35$

Knowing two points on a line, we can form the equation using the formula,

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

$(x_1, y_1) = (-9,2), (x_2, y_2) = (4,3)$

$:. (y - 2) / (3-2) = (x + 9) / (4 + 9)$

$(y-2) = (x+9) / 13$

$13y - 26 = x + 9$

$color(violet)("Equation of the line is "13y - x = 35$

What is the equation of the line between (-9,2)(-9,2) and (4,3)(4,3)?