Question 927782


The line {{{6x-ky=4}}} passes through the point ({{{3}}},{{{2}}}). 

Find the value of {{{k}}}.


{{{6x-ky=4}}} ...use given point, plug in {{{3}}} for {{{x}}}, and {{{2}}} for {{{y}}}


{{{6*3-k*2=4}}}...solve for {{{k}}}


{{{18-2k=4}}}

{{{18-4=2k}}}

{{{14=2k}}}

{{{highlight(7=k)}}}

so, your equation is:
 
{{{6x-7y=4}}}

{{{drawing( 600, 600, -10, 10, -10, 10,circle(3,2,.12),locate(3,2,p(3,2)), graph( 600, 600, -10, 10, -10, 10, 6x/7-4/7 )) }}}