Parallel and Perpendicular Lines

Same slope, or slopes that multiply to −1.

11 problems · about 22 minutes · G-GPE.B.5

NameDate

Figure — use these to answer the problems

Change the slope and picture the line at right angles to it.

y = 2x

Slope2

Intercept0

Figure 1

Straightforward practice. Get the method working first.

4 problems

Perpendicular to slope 2. What slope, as a decimal?
Answer
Parallel to y = 3x + 5. What slope?
Answer
Perpendicular to a line of slope 5. What is the perpendicular slope, as a decimal?
Answer
Slopes 3 and −1/3. Perpendicular? 1 for yes, 0 for no.
Answer

The same ideas with more to keep track of.

3 problems

Slopes 2 and 2. Parallel? 1 for yes, 0 for no.
Answer
Perpendicular to slope −4. What is the perpendicular slope, as a decimal?
Answer
7
Match each relationship to its slope condition.
Draw a line from each item on the left to its match on the right.
- Parallel
- Perpendicular
- The same line
- Equal slopes, different intercepts
- Slopes multiply to −1
- Equal slopes and equal intercepts

Mixed problems. Work out what kind of question it is before you start.

4 problems

Slopes 4 and −4. Perpendicular? 1 for yes, 0 for no.
Answer
Perpendicular to slope 1. What slope?
Answer
Parallel
Parallel to y = 6x − 2. What slope?
Answer
Perpendicular
Perpendicular to y = 2x. What is the product of the two slopes?
Answer