Question 1154123
Graph the line with slope {{{-3}}} passing through the point ({{{4}}},{{{-2}}}).

first find equation of this line using point slope formula:

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

{{{y-y[1]=m(x-x[1])}}}..... plug in given

{{{y-(-2)=-3(x-4)}}}


{{{y+2=-3x+12}}}

{{{y=-3x+12-2}}}

{{{y=-3x+10}}}


find one more point

{{{x}}}|{{{y}}}

{{{0}}}|{{{10}}}


plot points and draw a line through

{{{drawing ( 600, 600, -15, 15, -15, 15, 
circle(4,-2,.2),locate(4.3,-2,p(4,-2)),
graph( 600, 600, -15, 15, -15, 15, -3x+10)) }}}