Question 214439
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Okay, you want to graph it?


It follows Slope-Intercept Form, {{{y=mx+b}}}, where{{{system(m=slope,b=Yintercept)}}}


Let Fx=0:
{{{y=3x+2}}} ---> {{{y=3(0)+2}}}
{{{y=2}}}, Y-intercept (0,2)


Let Fy=0:
{{{y=3x+2}}} ---> {{{0=3x+2}}} ---> {{{-2=3x}}} ---> {{{-2/3=cross(3)x/cross(3)}}}
{{{x=-2/3}}}, X-intercept (-2/3,0) 


Knowing the Slope = {{{3/1=Rise/Run=DELTA(y)/DELTA(x)}}}


We <font color=blue>Rise</font> 3 steps from the Y-intercept (0,2) = (0,2+<font color=blue>3</font>) and <font color=blue> Run</font> 1 step to the right (0+<font color=blue>1</font>,2) ------> <font color=blue>(1,5)</font> (next point).
{{{drawing(350,350,-10,10,-10,10,grid(1),graph(350,350,-10,10,-10,10),blue(circle(0,2,.2)),blue(circle(-2/3,0,.2)),green(circle(1,5,.15)))}}}


Going to the next point, we <font color=blue>Rise</font> again 3 steps from the previous point (1,5)= (1,5+<font color=blue>3</font>) and <font color=blue>Run</font> 1 step to the right (1+<font color=blue>1</font>,5) ----> <font color=blue>(2,8)</font> (next point).
{{{drawing(350,350,-10,10,-10,10,grid(1),graph(350,350,-10,10,-10,10),blue(circle(0,2,.2)),blue(circle(-2/3,0,.2)),green(circle(1,5,.15)),green(circle(2,8,.15)))}}}


Going back to the Y-intercept, (0,2), we moved 3 steps down on the Y-axis "-3" = (0,2<font color=blue>-3</font>) and moved 1 step to the left on the x-axis "-1" = (0<font color=blue>-1</font>,2) -------> <font color=blue>(-1,-1)</font> (next point)
*Remember, {{{(-3)/(-1)=3/1}}}
{{{drawing(350,350,-10,10,-10,10,grid(1),graph(350,350,-10,10,-10,10),blue(circle(0,2,.2)),blue(circle(-2/3,0,.2)),green(circle(1,5,.15)),green(circle(2,8,.15)),green(circle(-1,-1,.15)))}}}



Then from point (-1,-1), moved again 3 steps down on the Y-axis "-3" = (-1,-1<font color=blue>-3</font>), and moved 1 step to the left again on the x-axis "-1"= (-1<font color=blue>-1</font>,-1) -----> <font color=blue>(-2,-4)</font> (next point)...


Just continue the rest and you can draw the line thru the points.

{{{drawing(350,350,-10,10,-10,10,grid(1),graph(350,350,-10,10,-10,10),blue(circle(0,2,.2)),blue(circle(-2/3,0,.2)),green(circle(1,5,.15)),green(circle(2,8,.15)),green(circle(-1,-1,.15)),green(circle(-2,-4,.15)))}}}---->{{{drawing(350,350,-10,10,-10,10,grid(1),graph(350,350,-10,10,-10,10,3x+2),blue(circle(0,2,.2)),blue(circle(-2/3,0,.2)),green(circle(1,5,.15)),green(circle(2,8,.15)),green(circle(-1,-1,.15)),green(circle(-2,-4,.15)))}}}


Thank you,
Jojo</font>