How do you write the equation in standard form given (-1, -7) (1,3)?

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Answer 1 · 2018-04-17T03:17:11

$color(green)(5x - y = 2$

Standard form of equation is $ax + by = c$

Knowing two points on a line, we can write the equation as

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

$"Given : " (x_1, y_1) = (-1, -7), (x_2,y_2) = (1,3)$

$(y- (-7) )/ (3 - (-7)) = (x - (-1)) / (1 - (-1))$

$(y + 7) / (3 + 7) = (x + 1) / (1 + 1)$

$2 * (y + 7) = 10 * (x + 1)$

$2y + 14 = 10x + 10$

$10x - 2y = 14 - 10 = 4$

$5x - y = 2$