Question 461469
given point: (0,9)=(x,y)

{{{x=0}}}

{{{y=9}}}


determine whether (0,9) is a solution of {{{7x-4y=-6}}}......plug in {{{x=0}}}
 and {{{y=9}}}

{{{7*0-4*9=-6}}}

{{{0-36=-6}}}

{{{-36=-6}}}...left side is {{{not}}} equal to right side; so, (0,9) is not a solution of {{{7x-4y=-6}}}

let's see it on a graph:

 {{{7x-4y=-6}}}..first write it in {{{slope-intercept}}} form

 {{{7x+6=4y}}}

{{{(7/4)x+3/2=y}}}


{{{ graph( 500, 500, -10, 10, -10, 10, (7/4)x+3/2) }}}

as you can see, the point (0,9) is not on a line