What is the equation of the line between #(-9,2)# and #(4,3)#?

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Answer 1 · 2018-04-13T05:44:54

#color(violet)("Equation of the line is "13y - x = 35#

Knowing two points on a line, we can form the equation using the formula,

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

#(x_1, y_1) = (-9,2), (x_2, y_2) = (4,3)#

#:. (y - 2) / (3-2) = (x + 9) / (4 + 9)#

#(y-2) = (x+9) / 13#

#13y - 26 = x + 9#

#color(violet)("Equation of the line is "13y - x = 35#