What is the equation of the line with slope # m= -4/7 # that passes through # (3/4,9/7) #?

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Answer 1 · 2018-04-16T04:31:54

#color(maroon)("Equation in Standard Form is ") color(indigo)(4x + 7y = 12#

#color(crimson)("Point - Slope Form " (y - y_1) = m * (x - x_1)#

#(x_1, y_1) = (3/4, 9/7), m = -(4/7)#

#y - 9/7 = -(4/7) * (x - 3/4)#

#(7y - 9) / cancel 7 = -(4x - 3) / cancel 7#

#7y + 4x = 9 + 3 = 12#

#color(indigo)(4x + 7y = 12#