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7-110.
1. Find the slope of each line below. Which pairs of lines are perpendicular? Which pairs are parallel? Homework Help ✎

1. y = + 3

2. y = 3

3. 5x + 6y = 9

4. x = −4

5. y = −4x − 5

6. y = − 7

7. 4xy = 2

8. 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?