Question 700897
Find an equation of a line in standard form that passes through (3,2) and is parallel to

a) y = (1/2)x
Gradient of above = {{{ 1/2 }}}, Any line parallel to this has same gradient
The equation of a line with gradient {{{ m }}} passing through ({{{ x[1] }}},{{{ y[1] }}} ) is given by {{{ y-y[1]=m( x-x[1] ) }}}

So required equation passing through (3,2) is:
{{{ y-2=1/2(x-3) }}}
{{{ y-2=x/2-3/2 }}}
{{{ y=x/2+1/2 }}}



b) x-axis
Any line parallel to x-axis has equation of the form y=c (independent of x)
Line passes through (3,2) is so equation is
{{{ y=2 }}}



c) y-axis
Any line parallel to y-axis has equation of the form x=c (independent of y)
Line passes through (3,2) is so equation is
{{{ x=3 }}}