Jamila wants to play a game called “Guess My Line.” She gives you the following hint: “Two points on my line are $(1,1)$ and $(2,4)$.”  

1. What is the growth rate of her line? A graph of the line may help.

   Help (a):

   Growth rate: when $x$ grows by $1$, $y$ grows by $3$.

2. What is the $y$-intercept of her line?

   Hint (b):

   The $y$-intercept is where the line crosses the $y$-axis.

   More Help (b):

   One strategy is to use the slope triangle to continue the line and then simply read the $y$-intercept (where the line crosses the $y$-axis) right off the graph.

   Answer (b):

   $y$-intercept $=(0,−2)$.

3. What is the equation of her line?

   Hint 1(c):

   Use the rate of growth and the $y$-intercept to write an equation for the line.

   Hint 2(c):

   $y=mx+b$
   $m=$ the rate of growth
   $b=$ the $y$-coordinate in the $y$-intercept

   Answer (c):

   $y=3x−2$