How do you find a standard form equation for the line with (-10,-6) and (10,-8)?

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Answer 1 · 2018-05-02T04:34:06

#color(blue)("Standard form of the line equation is " color(crimson)(x + 10y = -70#

Standard form of equation of a line is #Ax + By = C#

Equation of a line, knowing two points on it is given by

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

Given #(x_1, y_1) = (-10,-6), (x_2, y_2) = (10, -8)#

#(y + 6) / (-8+6) = (x +10) / (10 + 10)#

#(y + 6) / -2 = (x + 10) / 20#

#20y + 120 = -2x - 20#

#2x + 20y = -120 - 20 = -140#

#color(crimson)(x + 10y = -70#