Question 246129
I'm having trouble with this equation? 
Y=2x-2
7x+y=7 
I have to find the plots and graph, then find the point at which they intercept, if they do?
I'm new at this. Am I supposed to be using a graphing calculator to solve as I don't know how to use it. 
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You certainly could use a graphing calculator if your instructor allows it.
You could also use it just to check your work.
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When finding plots, is it best to always start with zero as I notice most equations have?
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It is frequetly easy to let x=0 but it is not necessary.  x is an independent
variable so you may use any value you wish to use; y will then be determined
using the Rule for your function.
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Your Problem:
Y=2x-2
7x+y=7 
I have to find the plots and graph, then find the point at which they intercept, if they do?
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Graph y = 2x-2
If x = 4 you get y=2*4-2 = 6 giving you point (4,6)
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If x = -2 you get y = 2*-2-2 = -6 giving you point (-2,-6)
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Plot those two points and draw a line thru them to see the graph
{{{graph(400,300,-10,10,-10,10,2x-2)}}}
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Solve the 2nd equation for "y":
y = -7x+7
Graph it:
If x = 0, y = 7 giving you point (0,7)
If x = 1, y = 0 giving you point (1,0)
Plot those two points and draw a line thru them to see the graph
{{{graph(400,300,-10,10,-10,10,-7x+7)}}}
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Put both graphes on the same coordinate system and try to determine
the point of intersection.
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{{{graph(400,300,-10,10,-10,10,-7x+7,2x-2)}}}
I get an answer of (1,0)
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Cheers,
Stan H.