This document contains notes from a math lesson on slope and rate of change. It includes: 1) Warm up problems solving equations and graphing solutions on a number line. 2) A definition of rate of change as a ratio describing how one quantity changes with respect to another, and of slope as the ratio of rise over run between two points on a line. 3) Examples of finding the slope of lines between pairs of points by using the rise over run formula. 4) Problems finding the y-value of a missing point to produce a line with a given slope between two points.

1. Lesson 3­3.notebook September 26, 2013
Assignment:
1­­>L3.3, pg. 176, #24­39 (all) ­ Due Monday (9/30)
2­­>Checkpoint 3.1­3.3 ­ Due Tuesday (10/1)
3­­>Chapter 2 test signed for Extra Credit

2. Lesson 3­3.notebook September 26, 2013
Lesson 3.3 WarmUp:
Solve each equation. Show all steps!
1) 5y ­ 4 = 9y + 8
2) 4(3w ­ 2) = 8(2w + 3)
3) 4 = ­3u ­ (­7)
­8
Solve each equation. Then graph the solution on a number line.
4) |x ­ 6| = 11
5) |­4w + 2| = 14

3. Lesson 3­3.notebook September 26, 2013
Lesson 3.3:
*rate of change ­ a ratio that describes, on average, how much one quantity
changes with respect to a change in another quantity
*slope ­ the ratio of the change in the y­coordinate (rise) to the change in the x­
coordinate (run) as you move from one point to another
rise
run m = y2 ­ y1
x2 ­ x1
You can find the slope by either
graphing it or using this formula!

4. Lesson 3­3.notebook September 26, 2013
X
Y
X
Y
X
Y
X
Y
positive slope negative slope
slope of zero undefined slope

5. Lesson 3­3.notebook September 26, 2013
Lesson 3.3 examples:
Find the slope of the line that passes through each pair of points.
A) (5, 3), (6, 9)
B) (6, 3), (6, 7)
C) (­3, 1), (5, 1)

6. Lesson 3­3.notebook September 26, 2013
Find the value of r so the line that passes through each pair of points has the
given slope.
D) (1, 4), (­5, r), slope = 1/3
E) (r, ­6), (5, ­8), slope = ­8