Question 1199311
a.  

given:

{{{m = 4 }}}, ({{{0 }}},{{{3 }}})

an equation of the line in slope- point form:


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

{{{y-3=4(x-0)}}}

{{{y-3=4x}}}

{{{y=4x+3}}}


{{{drawing ( 600, 600, -10, 10, -10, 10,
circle(0,3,.12),locate(0.3,3,p(0,3)),
graph( 600, 600, -10, 10, -10, 10, 4x+3)) }}}
 


{{{m = -3 }}}, ({{{4 }}},{{{-4 }}})

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

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

{{{y+4=-3x+12}}}

{{{y=-3x+12-4}}}

{{{y=-3x+8}}}


{{{drawing ( 600, 600, -10, 10, -10, 10,
circle(4,-4,.12),locate(4,-4,p(4,-4)),
graph( 600, 600, -10, 10, -10, 10, -3x+8)) }}}