Question 196065
<font face="Tahoma" size=1.5>
</pre><font size=4><b>
Given Line Eqn:            2x + 3y = 6



Let Fx=0
{{{2(0)+3y=6}}}
{{{3y=6}}} ---> {{{cross(3)y/cross(3)=cross(6)2/cross(3)}}}
{{{red(y=2)}}}, Y-Intercept


Let Fy=0
{{{2x+3(0)=6}}}
{{{2x=6}}} ---> {{{cross(2)x/cross(2)=cross(6)3/cross(2)}}}
{{{red(x=3)}}}, X-Intercept


So we plot the X-Intercept (3,0) & Y-Intercept (0,2):
{{{drawing(300,300,-7,7,-7,7,grid(1),graph(300,300,-7,7,-7,7),blue(circle(3,0,.12)),blue(circle(0,2,.13)),green(circle(3,0,.15)),green(circle(0,2,.15)))}}} --->{{{drawing(300,300,-7,7,-7,7,graph(300,300,-7,7,-7,7,(6-2x)/3),blue(circle(3,0,.12)),blue(circle(0,2,.13)),green(circle(3,0,.15)),green(circle(0,2,.15)),green(arrow(1,2,2,3)),green(locate(2.5,3.5,2x+3y=6)))}}}



Thank you,
Jojo</font>