Cogito
Grade 8 Math · Chapter 3 · Lesson 5
Comparing Lines in Different Forms
A table, a graph, and an equation, side by side.
10 problems · about 19 minutes · 8.F.A.2
Figure — use these to answer the problems
Warm-Up Review
From earlier lessons. Loosen up before the new work.
3 problemsFrom “Unit Rate as Slope”
A proportional line through (7, 28). What is its slope?
AnswerFrom “Slope from Two Points”
Through (1, 2) and (4, 11). Slope?
AnswerFrom “y = mx + b”
y = 3x − 4. What is y when x = 6?
Answer
Warm Up
Straightforward practice. Get the method working first.
3 problemsAt x = 0, y = 8; at x = 5, y = 33. What is the slope?
AnswerIn y = 2x + 9, what is the starting value?
AnswerIn y = −3x + 1, what is the slope?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsAt x = 0, y = 5; at x = 4, y = 17. What is the slope?
AnswerOf slopes 4 and 6, which relationship grows faster? Give the number.
Answer
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Equation
In y = 7x + 4, what is the slope?
AnswerThe Table
At x = 0, y = 12; at x = 3, y = 21. What is the slope?
Answer