Finding the slope between two points and on a graph! (Section 4.4)
Review: Positive, Negative, Zero and Undefined Slopes.
positive
zero
negative
undefined
1
Plot the points and draw a line through them. Without calculating the slope, tell whether the slope of the line is positive, negative, zero or undefined.
1. (6, 3) and (4, ­2)
y
6
5
4
3
positive
2
1
­7 ­6 ­5 ­4 ­3 ­2 ­1 0
­1
x
1
2
3
4
5
6
7
­2
­3
­4
­5
­6
2
Plot the points and draw a line through them. Without calculating the slope, tell whether the slope of the line is positive, negative, zero or undefined.
y
4
(­3, 2) and (1, ­8)
2
x
­10
­8
­6
­4
­2
0
2
4
­2
negative
­4
­6
­8
­10
3
Plot the points and draw a line through them. Without calculating the slope, tell whether the slope of the line is positive, negative, zero or undefined.
y
12
(­9, 8) and (­9, ­2)
9
6
undefined
3
x
­18
­15
­12
­9
­6
­3
0
3
6
­3
­6
4
Plot the points and draw a line through them. Without calculating the slope, tell whether the slope of the line is positive, negative, zero or undefined.
y
(7, 4) and (­2, 4)
5
4
3
Zero
2
1
x
­3
­2
­1
0
1
2
3
4
5
6
7
8
­1
­2
5
Find the slope of the line that passes through the points on the graph.
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
6
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
7
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
8
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
9
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
10
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
11
Find the slope of the line that passes through the points.
(3, 4) and (­5, 0)
Step 1: MAAAKE a t­chart!
Step 2: Subtract...the y's.
Step 3: X! X! X minus X!
Step 4: Put the difference in y over the difference in x!
12
(3, 1) and (­5, 3)
(5, ­5) and (5, ­2)
(­6, 0) and (2, 0)
13
Assignment: Workbook Pages 55­56
#'s 1­ 15 all, 16­24 even
14
15