Given the two points $(−2,0)$ and $(0,1)$, complete parts (a) through (c) below.

1. Find the slope of the line that passes through these two points.

   Hint (a):

   Remember that the slope $=\frac{\Delta y}{\Delta x}.$

   Answer (a):

   $m = \frac{1}{2}$

2. Find the slope of the line perpendicular to the line that passes through these two points.

   Hint (b):

   The slopes of perpendicular lines are opposite reciprocals of each other.

   Example: lines with slopes of $-\frac{2}{3}$ and $\text{ }\frac{3}{2}.$

   Remember: the product of opposite reciprocals is $−1$.

   Answer (b):

   The slope is $−2$.

   Describe the relationship between the slopes of perpendicular lines.

   Hint (c):

   See part (b).