How do you write an equation in standard form of the lines passing through (2,1) (4,5)?

1 Answer
sankarankalyanam
Jun 11, 2018

#color(purple)(2x - y = 3 " is the standard form of equation"#

Explanation:

![https://www.onlinemathlearning.com/http://forms-linear-equations.html](https://useruploads.socratic.org/9e65OXg3R5KNvc5W8HEP_forms%20of%20linear%20equations.png)

#(x_1, y_1) = (2,1), (x_2, y_2) = (4,5)#

Equation of a line passing through given two points is

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

#(y - 1) / (5-1) = (x - 2) / (4-2)#

#2 * (y - 1) = 4 * (x - 2)#

#2y - 2 = 4x - 8#

#4x - 2y = 6#

#color(purple)(2x - y = 3 " is the standard form of equation"#

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