CPM Homework Banner

Home > AC > Chapter 7 > Lesson 7.3.3 > Problem 7-110

7-110.

Slopes that are opposite reciprocals of each other are perpendicular, while parallel lines share the same slope.

Slope is given in the equation.

y = 3 is a horizontal line, thus its slope is zero.

Rearrange the equation into the y = mx + b form to identify the slope.

x = −4 is a vertical line, thus its slope is undefined.

Slope is given.

Slope is given.

Rearrange the equation into the y = mx + b form to identify the slope.

Rearrange slightly and identify the slope.

An example of a pair of parallel lines is the line from part (a) and the line from part (c), while an example of a pair of perpendicular
lines is the line from part (b) and the line from part (d). Knowing this information, can you find your own examples?