Question 220750
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Following the Slope-Intercept Form,{{{system(y=mx+b)}}}, we can get the Y-intercept, {{{red(b)}}} by substituting given:


{{{y=mx+b}}}
{{{-7=(6/7)(8)+b}}}
{{{-7=(48/7)+b}}} ---> {{{b=-7-(48/7)=(-49-48)/7}}}
{{{red(b=-97/7)}}}, Y-intercept


It follows eqn, {{{y=(6/7)x-97/7}}}, Multiply the whole eqn by "7":


{{{7y=6x-97}}} ---> {{{highlight(-6x+7y=-97)}}}} Standard Form, (Answer)


Find X-intercept:
{{{Fy=0}}}:
{{{-6x+7(0)=-97}}} ---> {{{cross(-6)x/cross(-6)=-97/-6}}}
{{{red(x=97/6)}}}, ==> (97/6,0) or (16.2,0)


Find Y-intercept:
{{{Fx=0}}}
{{{-6(0)+7y=-97}}} ---> {{{cross(7)y/cross(7)=-97/7}}}
{{{red(y=-97/7)}}}, ==> (0,-97/7) or (0,-13.9)



{{{drawing(500,500,-5,18,-18,5,grid(1),graph(500,500,-5,18,-18,5,(6/7)x-97/7),blue(circle(8,-7,.12)),blue(circle(8,-7,.15)),green(circle(97/6,0,.12)),green(circle(97/6,0,.15)),green(circle(0,-97/7,.12)),green(circle(0,-97/7,.15)))}}}


Thank you,
Jojo</font>