Question 1138759

to find the slope of the graph of {{{3x + 7y = 14}}} write it in slope intercept form {{{y=mx+b}}} where {{{m}}} is a slope and {{{b}}} is y-intercept


{{{3x + 7y = 14}}}

{{{ 7y =-3x+ 14}}}

{{{ y =-3x/7+ 14/7}}}

{{{ y =-(3/7)x+ 2}}}

=> a slope is {{{-(3/7) and y intercept is {{{2}}}, 

and x intercept is at point where {{{y=0}}}

{{{ 0 =-(3/7)x+ 2}}}

{{{ (3/7)x= 2}}}

{{{ x= 2/(3/7)}}}

{{{ x= 14/3}}}


{{{drawing ( 600, 600, -10, 10, -10, 10,
circle(0,2,.12),locate(0,2,p(0,2)),
circle(14/3,0,.12),locate(14/3,-0.4,p(14/3,0)),
graph( 600, 600, -10, 10, -10, 10,-(3/7)x+ 2)) }}}