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

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

    1. y = -5/6x+ 3

    2. y = 3

    3. 5x + 6y = 9

    4. x = −4

    5. y = −4x − 5

    6. y = 1/4x− 7

    7. 4xy = 2

    8. y = 5 − 6/5x

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?