What is the equation of the line between #(5,17)# and #(14,4)#?

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Answer 1 · 2018-06-11T02:08:12

#color(indigo)("Standard form of the linear equation is " x + 3y = 56#

#(x_1, y_1) = (5, 17), (x_2, y_2) = (14,4)#

#color(crimson)("Equation of a line with two known points is given by"#

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

#(y - 17) / (4-7) = (x - 5) / (14 - 5)#

#9 * (y - 17) = -3 * (x - 5)#

#9y + 3x = 153 + 15#

#color(indigo)("Standard form of the linear equation is " x + 3y = 56#