Question 1152006


 the equation of the line that passes through the point ({{{2}}},{{{-1}}}) and has a slope of {{{m=-3}}}

use point slope formula:

{{{y-y[1]=m(x-x[1])}}} where {{{x[1]}}} and {{{x[1]}}} are coordinates of the given point, {{{m}}} is a slope

{{{y-(-1)=-3(x-2)}}} 

{{{y+1=-3x+6}}} 

{{{y=-3x+6-1}}}

{{{y=-3x+5}}}


{{{drawing( 600, 600, -10, 10, -10, 10, 
circle(2,-1,.12),locate(2,-1,p(2,-1)),
 graph( 600, 600, -10, 10, -10, 10, -3x+5)) }}}