What is the equation of the line between (5,17) and (14,4)?

1 Answer
sankarankalyanam
Jun 11, 2018

color(indigo)("Standard form of the linear equation is " x + 3y = 56

Explanation:

![https://www.onlinemathlearning.com/http://forms-linear-equations.html](https://useruploads.socratic.org/qdBmV4ARbWDXphJ9mfWD_forms%20of%20linear%20equations.png)

(x_1, y_1) = (5, 17), (x_2, y_2) = (14,4)

color(crimson)("Equation of a line with two known points is given by"

color(crimson)((y - y_1 ) / (y_2 - y_1) = (x - x_1) / (x_2 - x_1)

(y - 17) / (4-7) = (x - 5) / (14 - 5)

9 * (y - 17) = -3 * (x - 5)

9y + 3x = 153 + 15

color(indigo)("Standard form of the linear equation is " x + 3y = 56

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