Question 846387
USING SLOPE-INTERCEPT FORM.


{{{highlight_green(y=mx+b)}}}, m is slope, b is y-intercept.
{{{b=y-mx}}}
Use the given point that the line must contain.
{{{b=-9-(3)(-4)}}}
{{{b=-9+12}}}
{{{b=3}}}
Equation is {{{highlight(y=3x+3)}}}


USING POINT-SLOPE FORM.


Plainly using this form,  {{{y-(-9)=3(x-(-4))}}}
{{{highlight(y+9=3(x+4))}}};
or if you want to simplify and reach general form,
{{{y=3(x+4)-9}}}
{{{y=3x+12-9}}}
{{{highlight(y=3x+3)}}}