Question 1153527

the equation for the line that passes through ({{{1}}},{{{-4}}}) and is parallel to {{{y=-3}}}

since {{{y=-3}}} is horizontal line, a line parallel to it will be also horizontal line {{{y=a}}}

if a line {{{y=a}}} passes through ({{{1}}},{{{-4}}}), then {{{a=-4}}} and your line is {{{y=-4}}} 


{{{drawing ( 600, 600, -10, 10, -10, 10, 
circle(1,-4,.12),locate(1,-4.3,p(1-4)),
graph( 600, 600, -10, 10, -10, 10, -3,-3,-4,-4)) }}}