Question 1176184


the slope-intercept form of the equation of the line:

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

given:

slope {{{m= -5}}}

{{{y= -5x+b}}} 

 use given point ({{{2}}},{{{-5}}}) to find {{{b}}}

{{{-5= -5*2+b}}} 

{{{-5= -10+b}}} 

{{{b=10-5}}}

{{{b=5}}}

so your equation is {{{y= -5x+5}}} 


{{{drawing( 600, 600, -10, 10, -10, 10,
circle(2,-5,.12),locate(2,-5,p(2,-5)),
 graph( 600, 600, -10, 10, -10, 10, -5x+5)) }}}