Question 165162
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Slope intercept form: {{{y=mx+b}}}, EQN 1
Line eqn: {{{2x+3y=4}}} to EQN 1:
{{{3y=4-2x}}}
{{{cross(3)y/cross(3)=(4-2x)/3}}}
{{{y=-(2/3)x+(4/3)}}}
f(x)=0: y-intercept {{{4/3}}}
f(y)=0:
{{{3(0)=4-2x}}}
{{{2x=4}}} ---> {{{cross(2)x/cross(2)=cross(4)2/cross(2)1}}}
{{{x=2}}}
See graph:
{{{drawing(300,300,-5,5,-5,5,grid(1),graph(300,300,-5,5,-5,5,-2x/3+4/3),circle(2,0,.15),circle(0,4/3,.15))}}}--- points (2,4/3)
Thank you,
Jojo</pre>