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Cogito

Grade 8 Math · Chapter 3 · Lesson 3

Practice Worksheet

Slope from Two Points

Rise over run, from any pair.

10 problems · about 19 minutes · 8.EE.B.6

NameDate

Figure — use these to answer the problems

Change the slope. Both triangles report the same ratio at different sizes.

y = 2x + 1

Slope2

Where it crosses1

Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

From “y = mx + b”
y = 3x − 4. What is y when x = 6?
Answer
From “Why Slope Is the Same Everywhere”
Rise 12, run 4. Slope?
Answer
From “Angle-Angle Similarity”
Angles 25° and 95°. What is the third?
Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

Through (1, 2) and (4, 11). Slope?
Answer
Through (0, 1) and (2, 7). Slope?
Answer
Through (1, 5) and (4, 5). Slope?
Answer

Build It Up

The same ideas with more to keep track of.

2 problems

Through (0, 9) and (3, 0). Slope?
Answer
Through (2, 1) and (5, 10). Slope?
Answer

Stretch Yourself

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

2 problems

The Rise
Through (0, 0) and (3, 12). What is the slope?
Answer
The Fall
Through (2, 10) and (6, 2). What is the slope?
Answer