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

 

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