Question 169780
Sorry, recalculate on the given
Given Line eqn: {{{-2x-3y=18 }}}
Via Slope Intercept form: {{{y=mx+b}}}, where {{{m=slope}}} & {{{b=Yintercept}}}
Continuing,
{{{-3y=2x+18}}}
{{{cross(-3)y/cross(-3)=(2x+18)/-3}}}
{{{y=(-2/3)x-(18/3)}}}
Answer: {{{slope=-2/3}}} & {{{b=-18/3=-6}}}, Answer (C)
then it follows ---> Via Slope form: 
See graph for verification:
{{{drawing(300,300,-12,5,-8,5,grid(1),graph(300,300,-12,5,-8,5,(-2/3)x-(18/3)),blue(circle(0,-18/3,.15)))}}} ----> shown y-intercept {{{-18/3=-6}}}
.
Thank you,
Jojo