Question 1092553
 passes through ({{{-4}}}, {{{6}}}) and 

parallel to the line {{{3x + 4y = -2}}}

{{{y=mx+b}}}

parallel lines have same slope {{{m}}};so, find a slope first

{{{3x + 4y = -2}}}

{{{4y =-3x -2}}}

{{{y =-(3/4)x -2/4}}}

{{{y =-(3/4)x -1/2}}}-> slope {{{m=-(3/4)}}}

{{{y=-(3/4)x+b}}}....use given point to find y-intercept {{{b}}}

{{{6=-(3/4)(-4)+b}}}

{{{6=-(3/cross(4))(-cross(4))+b}}}

{{{6=3+b}}}

{{{b=6-3}}}

{{{b=3}}}

and, your equation is:{{{y=-(3/4)x+3}}}



{{{drawing( 600, 600, -10,10, -10, 10,
circle(-4,6,.12),locate(-4,6,p(-4,6)),
 graph( 600, 600, -10,10, -10, 10, -(3/4)x-1/2, -(3/4)x+3)) }}}