<PRE><B>Question 372067</B>
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Hi,
show graphically that the system of linear equations 2x+4y=10 and 3x+6y=12 has no solution
Using the standard point-slope form for an equation of a line y = mx + b  
where m is the slope and b the y-intercept. 
solving for y so as to put into the slope-intercept form 
2x+4y=10   y = -(2/4)x + 10
3x+6y=12   y = -(3/6)x + 12
both lines have slope -(1/2)  
Showing these two lines are parallel and that there is no solution for this system
{{{graph( 300, 300,-15,15,-15,15,-.5x + 10
, -.5x + 12) }}}</PRE>