Question 1177513


parallel to {{{3y=6x}}}, and through ({{{-2}}},{{{3}}})

parallel lines have same slope


 {{{3y=6x}}}...write in slope intercept form

 {{{y=6x/3}}}

{{{y=2x}}}=> slope is {{{2}}}


parallel line will be:

{{{y=mx+b}}}.......substitute {{{m}}}

{{{y=2x+b}}}...........use given point ({{{-2}}},{{{3}}}) to calculate {{{b}}}

{{{3=2(-2)+b}}}

{{{3=-4+b}}}

{{{3+4=b}}}

{{{b=7}}}

your line is:

{{{y=2x+7}}}


 {{{drawing ( 600, 600, -10, 10, -10, 10,
circle(-2,3,.12), locate(-2,3,p(-2,3)),
graph( 600, 600, -10, 10, -10, 10, 2x, 2x+7)) }}}