How do you write an equation in standard form for a line which passes through (2,-3) and (-3,7)?

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Answer 1 · 2018-04-13T06:03:00

#color(gray)(2x + y -1 = 0 " is the standard form of equation"#

Standard form of equation is #ax + by + c = 0#

Two points given are #(x_1,y_1) = (2,-3), (x_2,y_2) = (-3,7)#

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

#(y + 3) / (7 + 3) = (x - 2) / (-3-2)#

#(y+3) / cancel(10)^color(red)(2) = (x-2) / cancel(-5)^color(red)(-1)#

#-y -3 = 2x - 4#

#color(gray)(2x + y -1 = 0 " is the standard form of equation"#