What is the equation of the line with slope # m= -13/3 # that passes through # (-2/9,2/3) #?

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Answer 1 · 2018-03-09T14:55:17

Equation of the line is #color(blue)(117x + 27y + 8 = 0#

#x_1 = -2/9, y_1 = 2/3, m = -13/3#

Point slope form of equation is #y - y_1 = m ( x - x_1)#

#y - 2 / 3 = (-13/3) (x + 2/9)#

#(3y - 2) / cancel3 = (-13/ cancel3) (9x + 2) / 9#

#27y - 18 = -117x - 26#

Equation of the line is #color(blue)(117x + 27y + 8 = 0#