6.1 ­ slope web.notebook
January 20, 2011
run
Warmup
rise
Linear
Functions
Objective - define and count slope
Tell me what you know about lines.
Slope - The measure of the steepness of
a line given by the ratio of the rise to run
for any two points on the line.
Straight ­ in math
Unchanging
Neverending
run
rise
slope = rise
run
Positive slope looks like this:
To find the slope of a line follow 4 steps:
STEP 1: Identify two points on the line
Increases from left to right
Negative slope looks like this:
STEP 2: Find the vertical distance between the points
(rise)
rise
Decreases from left to right
rise = 3
1
6.1 ­ slope web.notebook
January 20, 2011
STEP 3: Find the horizontal distance between points
(run)
EXAMPLE A: FIND THE SLOPE OF THE LINE
run
slope =
run = 2
STEP 4: Make a fraction with the rise over the run
2
5
EXAMPLE B: FIND THE SLOPE OF THE LINE
run
rise
slope =
slope =
3
rise
=
run
2
EXAMPLE C: FIND THE SLOPE OF THE LINE
-6
3
= -2
To find the slope of a line given 2 points
You could graph them and count the slope, or...
Use the slope formula
slope =
0
=0
4
slope =
EXAMPLE D: FIND THE SLOPE OF THE LINE
slope =
Given two points, (x1, y1) and (x2, y2):
y2 ­ y1
x2 ­ x1
3
= undefined
0
To find the slope of a line given a table
To find the slope of a line given 2 points
Use the slope formula
Use the slope formula
Given two points, (-3, 5) and (6, 4)
slope =
x
y
2
­3
4
0
6
3 8
6 slope =
2
6.1 ­ slope web.notebook
January 20, 2011
HOMEWORK:
page 313
#'s: 1­29 odd, 50, 54­57
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