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Cogito

Algebra 1 · Chapter 4 · Lesson 2

Practice Worksheet

Slope from Two Points

Rise over run, and what its sign says.

11 problems · about 22 minutes · F-IF.B.6, A-CED.A.2

NameDate

Figure — use these to answer the problems

Two triangles on one line report the same slope at different sizes.
-10-10-5-55510101236
y = 2x + 1
Slope2
Intercept1
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Through (0, 2) and (4, 14). Slope?

    Answer

  2. Through (0, 1) and (3, 10). Slope?

    Answer

  3. Through (2, 8) and (6, 0). Slope?

    Answer

  4. Through (5, 2) and (5, 9). Does the slope exist? 1 for yes, 0 for no.

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Through (0, 4) and (8, 4). Slope?

    Answer

  2. Through (1, 1) and (4, 13). Slope?

    Answer

  3. Sort each line by its slope.

    Write each item under the heading it belongs to: Rises left to right · Falls left to right · Perfectly horizontal

    Positive

    Negative

    Zero

Stretch Yourself

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

4 problems

  1. Of slopes 2 and 6, which line is steeper? Give the number.

    Answer

  2. Through (3, 7) and (5, 3). Slope?

    Answer

  3. Rising

    Through (0, 0) and (2, 8). Slope?

    Answer

  4. Flat

    Through (1, 6) and (9, 6). Slope?

    Answer