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How do you find a standard form equation for the line (2,3) (0,0)?

1 Answer

Apr 18, 2017

The equation of the line in standard form is #2y -3x =0 #

Explanation:

The slope of the line passing through #(2,3) and (0,0)# is #m= (y_2-y_1)/(x_2-x_1)= (0-3)/(0-2)=(-3)/-2 =3/2#

Let the equation of the line in slope-intercept form be #y=mx+c or y=3/2x+c# The point (0,0) will satisfy the equation . So, # 0= 3/2*0+c or c= 0#

Hence the equation of the line in slope-intercept form is #y= 3/2x#

The equation of the line in standard form is #y= 3/2x or 2y =3x or 2y -3x =0 # graph{3/2x [-10, 10, -5, 5]} {Ans]

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