Question 1136928


the standard form of the equation of the line is: {{{ax+by=c}}}


 if the line that passes through ({{{-7}}},{{{8}}})and ({{{0}}},{{{2}}}), we can use slope intercept form 

{{{y=mx+b}}} 

and use points to ind a slope {{{m}}}

{{{m=(y[2]-y[1])/(x[2]-x[1])}}}

{{{m=(2-8)/(0-(-7))}}}

{{{m= -6/7)}}}

so far we have {{{y=-(6/7)x+b}}} ...use coordinates of one point to find {{{b}}}

{{{2=-(6/7)0+b}}} 

{{{b=2}}}

{{{y=-(6/7)x+2}}}...rewrite it in standard form

{{{(6/7)x+y=2}}}.....both sides multiply by {{{7}}}

{{{6x+7y=14}}}=> your answer


{{{drawing( 600, 600, -10, 10, -10, 10, 
circle(0,2,.12),locate(0,2,p(0,2)),circle(-7,8,.12),locate(-7,8,p(-7,8)),
 graph( 600, 600, -10, 10, -10, 10, -(6/7)x+2)) }}}