Question 1152757

the equation of the line is

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

iven: x-intercept ({{{-4}}},{{{0}}}) 


{{{0=m(-4)+b}}}

{{{0=-4m+b}}}

{{{b=4m}}}


and, if  y-intercept ({{{0}}},{{{9}}}) means {{{b=9}}}

then {{{b=4m}}}=>{{{9=4m}}}=>{{{9/4=m}}}

and your equation is:

{{{y=(9/4)x+9}}} or {{{y=2.25x+9}}} 


{{{ graph( 600, 600, -10, 10, -10, 10, 2.25x+9) }}}