How do you write an equation in standard form given point (0,0) and slope 1/3?

1 Answer
Dec 29, 2017

#1x-3y=0#

Explanation:

For a line with slope #color(green)(1/3)# through the point #(x,y)=(color(red)0,color(blue)0)#
the slope-point form is
#color(white)("XXX")y-color(blue)0=color(green)(1/3)(x-color(red)0)#
which simplifies as
#color(white)("XXX")3y=1x#

Standard form for a linear equation is
#color(white)("XXX")Ax+By=C# with #A,B,C in ZZ# and #A>=0#

To convert #3y=1x# into standard form
subtract #3y# from both sides:
#color(white)("XXX")0=1x-3y#
then reverse the left and right hand sides
#color(white)("XXX")1x-3y=0#