Examine the graph at right.  

1. Find the equation of the line.

   Hint (a):

   What are the slope and $y\text{-intercept}$?

2. Is the line $y=\frac{3}{2}x+1$ perpendicular to this line? How do you know?

   Answer (b):

   Yes, it is perpendicular because the slopes are opposite reciprocals.

3. On graph paper, graph $\overleftrightarrow{AB}$ if $A(-2,4)$ and $B(4,7)$. Then find the equation of $\overleftrightarrow{AB}$.

   Hint (c):

   Graph the points. What are the slope and $y\text{-intercept}$?

   Answer (c):

   $y=0.5x+5$

4. Find an equation of $\overleftrightarrow{AC}$ if $\overleftrightarrow{AC}\perp\overleftrightarrow{AB}$ from part (c).

   Hint (d):

   Many answers are possible depending on your choice of $y\text{-intercept}$. Your slope should be $-2$.