Question 12548
If you are starting with the equation y = 2x + 1, you know you need to find a line parallel to it, parallel lines have the same slope but different y intercept, so you are going to use y = 2x + b as your parallel line, using the point ( -1, 3 ) to find b.
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y = 2x + b Substitute
3 = (2*-1)+b Simplify
3 = -2 + b Add 2 on both sides
b = 5
so your parallel line has the equation y = 2x + 5
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now graph, they should look like this...
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{{{graph(300,200, -10,10,-10,10, 2x + 1, 2x + 5)}}}