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Cogito

Integrated Math 1 · Chapter 7 · Lesson 2

Practice Worksheet

Parallel and Perpendicular Lines

What the slopes tell you.

12 problems · about 21 minutes · G-GPE.B.5

NameDate

Figure — use these to answer the problems

Set the slope to 2, then to −0.5. Those two lines meet at a right angle.
-10-10-5-5551010
y = 2x
Slope2
y-intercept0
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. A line has slope 3. What is the perpendicular slope, to two decimal places?

    Answer

  2. What is the product of two perpendicular slopes?

    • Negative one.
    • One.

  3. Slope 2. Perpendicular slope, as a decimal?

    Answer

  4. Slope 5. Parallel slope?

    Answer

  5. Slope −0.5. Perpendicular slope?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Slopes 3 and −1/3. What is their product?

    Answer

  2. Slopes 2 and 2. Parallel or perpendicular? 1 parallel, 2 perpendicular.

    Answer

  3. Slope 1. Perpendicular slope?

    Answer

Stretch Yourself

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

4 problems

  1. Put the steps for writing a perpendicular line in order.

    Write 1 to 4 in the boxes to put these in order.

    • Read the slope of the given line.
    • Flip it and change its sign.
    • Substitute that slope and the given point into point-slope form.
    • Rearrange into slope-intercept form.

  2. Slope 0.25. Perpendicular slope?

    Answer

  3. The Perpendicular

    A line has slope 4. What is the perpendicular slope, as a decimal?

    Answer

  4. The Parallel

    A line has slope −3. What slope is parallel to it?

    Answer