How do you find the equation of the line that passes through (2,-3) and (-7, -3)?

1 Answer
sankarankalyanam
Jun 11, 2018

#color(blue)(y = -3#

#color(blue)( " is the equation of horizontal line with y-intercept = -3"#

Explanation:

![https://www.onlinemathlearning.com/http://forms-linear-equations.html](https://useruploads.socratic.org/aHOKBmUjQtaqEkKER18y_forms%20of%20linear%20equations.png)

#color(crimson)("Equation of a line that passes through two points is given by "#

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

#(x_1, y_1) = (2,-3), (x_2, y_2) = (-7,-3)#

#(y + 3) / (-3 + 3) = (x - 2) / (-7-2)#

#-9 * ( y + 3) = 0 * (x - 2)#

#-9 * ( y + 3) = 0#

#color(blue)(y = -3 " is the equation of the line"#

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