Question 1204815

an equation in slope intercept form

{{{y=mx+b}}}   where {{{m}}}is a slope and {{{b}}} is y-intercept

if  line passes through the point ({{{2}}},{{{9}}}) and has the a slope of {{{-4}}}, we have

{{{9=-4*2+b  }}}

{{{9=-8+b  }}}

{{{b=9+8}}}

{{{b=17 }}}=> y-intercept


an equation is

{{{y=-4x+17}}}


{{{ drawing (600, 600, -10, 10, -10, 20,
circle(2,9,.12), locate(2,9,p(2,9)),
graph( 600, 600, -10, 10, -10, 20, -4x+17)) }}}