Question 201739
4x+2y=8
y=-2x+6 
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Plot two points for each equation:
For 4x + 2y = 8
Let x = 0, then y = 4 giving you point (0,4)
Let x = 1, then y = 2 giving you point (1,2)
Plot those two points and draw a line thru them to get:
{{{graph(400,300,-10,10,-10,10,-2x+4)}}}
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For y = -2x + 6
Let x = 0, then y = 6 giving you point (0,6)
Let x = 1, then y = 4 giving you point (1,4)
Plot those two points and draw a line thru them to get:
{{{graph(400,300,-10,10,-10,10,-2x+6)}}}
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Estimate the point of intersection as best you can.
Check it in the two equations.
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Ans: There is no intersection as the two lines have the 
same slope and have different y-intercepts.
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Cheers,
Stan H.