Question 957413

parallel to the given line  {{{y=5}}}, through ({{{2}}},{{{7}}})

as you can see the given line  {{{ y=5}}} is a line that has zero slope, and is horizontal

you also know that two lines are parallel if they have {{{same}}} slope

so, the line that passes through ({{{2}}},{{{7}}}) and has zero slope is {{{y=7}}}

{{{ graph( 600, 600, -10, 10, -10, 10, 5, 7) }}}