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

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


   



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) About Me  (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...


graph%28300%2C200%2C+-10%2C10%2C-10%2C10%2C+2x+%2B+1%2C+2x+%2B+5%29