Question 116668

{{{3y-6=-9x}}}……solve for {{{y}}}

{{{3y=-9x + 6}}}……divide both sides by {{{3}}}

{{{y=-3x + 2}}}……

 make an input-output table:

let {{{x}}} be {{{-2}}},{{{-1}}},{{{0}}}, {{{1}}}, {{{2}}}

calculate {{{y}}} for these values:

{{{y=-3x + 2}}}……for {{{x=-2}}}

{{{y=-3(-2) + 2= 6+2=8}}}……

{{{y=-3x + 2}}}……for {{{x=-1}}}

{{{y=-3(-1) + 2= 3+2=5}}}……


{{{y=-3x + 2}}}……for {{{x = 0}}}

{{{y=-3(0) + 2= 0+2=5}}}……

{{{y=-3x + 2}}}……for {{{x = 1}}}

{{{y=-3(1) + 2= -3+2= -1}}}……

{{{y=-3x + 2}}}……for {{{x = 2}}}

{{{y=-3(2) + 2= -6+2= -4}}}……



{{{x}}} | {{{y}}}

{{{-2}}}| {{{8}}}

{{{-1}}}| {{{5}}}

{{{0}}} | {{{2}}}

{{{1}}} | {{{-1}}}

{{{2}}} | {{{-4}}}

Now you can graph it.

Here is the graph:




*[invoke graphing_linear_equations "slope-intercept", 1, 2, 3, -3, 2]