### Home > CCA2 > Chapter 6 > Lesson 6.1.1 > Problem6-14

6-14.

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.

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.

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

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

The slope is $−2$.

Describe the relationship between the slopes of perpendicular lines.

See part (b).