How do you find a standard form equation for the line (1,4) (0,1)?

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Answer 1 · 2016-05-26T06:29:04

#3x-y+1=0#

The standard form of a linear equation in two variables representing a line is #ax+by+c=0#.

Equation of a line passing through two points #(x_1,y_1)# and #(x_2,y_2)# is given by

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

Hence, equation of line passing through #(1,4)# and #(0,1)# will be

#(x-1)/(0-1)=(y-4)/(1-4)#

or #(x-1)/-1=(y-4)/-3#

or #-3*(x-1)=-1*(y-4)#

or #-3x+3=-y+4#

or #0=3x-y+4-3#

or #3x-y+1=0#