### Home > A2C > Chapter 7 > Lesson 7.1.1 > Problem7-14

7-14.

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.

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

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

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

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

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

Remember: the product of opposite reciprocals is −1.

The slope is −2.

3. Describe the relationship between the slopes of perpendicular lines.

• See part (b).