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

7-14.
1. Given the two points (−2, 0) and (0, 1), complete parts (a) through (c) below. Homework Help ✎

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

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

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

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

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

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.

See part (b).