What is the equation of the line passing through #(1,-8)# and #(-9,13)#?

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Answer 1 · 2018-05-02T04:39:54

#color(indigo)("Equation of the line is "color(crimson)(21x + 10y + 59 = 0#

Equation of the line passing through two points is given by

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

#(x_1,y_1) = (1,-8), (x_2,y_2) = (-9,13)#

#:. (y + 8) / (13+8) = (x - 1) / (-9-1)#

#(y + 8) / 21 = (x - 1) / -10#

#-10y - 80 = 21x - 21#

#color(indigo)("Equation of the line is "21x + 10y = -59#