SOLUTION: write an equation for each line. then graph the line. Through (-1,3) and parallel to y=2x+1

Question 12548: write an equation for each line. then graph the line.
Through (-1,3) and parallel to y=2x+1
Answer by AdolphousC(70) (Show Source): You can put this solution on YOUR website!
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.

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

now graph, they should look like this...

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