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

Find the slope of each line below. Which pairs of lines are perpendicular? Which pairs are parallel? Homework Help ✎

*y*= + 3*y*= 35

*x*+ 6*y*= 9*x*= −4*y*= −4*x*− 5*y*= − 74

*x*−*y*= 2*y*= 5 −

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?