Question 1049207

recall, the slope-intercept form of linear equation: 

{{{y=highlight(m)x+highlight(b)}}} where {{{m}}} represents a slope and {{{b}}} represents y-intercept

now, compare your equation {{{y = 3x -6}}} to {{{y=highlight(m)x+highlight(b)}}} and you can see that:
the slope is {{{3}}} and the y-intercept is {{{-6}}}

the y-intercept is a point where a line crosses y-axis and {{{x=0}}}, and the point is:
({{{0}}},{{{-6}}})

since your equation is linear means the graph is a line, so only what we need is one more point to graph it

best way is to find x-intercept 

so, set {{{y=0}}} and solve for {{{x}}}

{{{0= 3x -6}}}

{{{6= 3x }}}

{{{x= 2}}}  the point is: ({{{2}}},{{{0}}})

plot these points and draw a line through

{{{ drawing( 600, 600, -10, 10, -10, 10,
circle(2,0,.12),circle(0,-6,.12),
graph( 600, 600, -10, 10, -10, 10, 3x -6)) }}}