When Yoshi graphed the lines $y=2x+3$ and $y=2x−2$, she got the graph shown at right.  

1. One of the lines at right matches the equation $y=2x+3$, and the other matches $y=2x−2$. Which line matches which equation?

   Hint (a):

   In the equation $y = mx + b,$ $b$ is the $y$-intercept.
   Match the $b$-value in each equation to the $y$-intercept on the graph.

2. Yoshi wants to add the line $y=2x+1$ to her graph. Predict where it would lie and sketch a graph to show its position. Justify your prediction.

   Hint (b):

   The line has the same slope so it will be parallel to the other two lines. Again, use to $y$-intercept to decide where the line will be on the graph.

   Answer (b):

   It would lie between the lines $a$ and $b$ because it has $y = 1$ as the intercept.

3. Where would the line $y=−2x+1$ lie? Again, justify your prediction and add the graph of this line to your graph from part (b).

   Hint (c):

   The negative slope tells you that the line will travel downward. Once again, use the $y$-intercept to decide where to put the line.