Rate of Change
From a Graph
From 2 Points
Type of Slope
Random
100
Determine the rate of change.
$15/h. Or $15 per hour
100
Find Slope
-1/2
100
(1, 5) and (3, 8)
3/2
100
A line that rises from the left to the right has a ____________ slope
Positive
100
slope is also found by using ____________ over ____________
rise over run
200
Determine the rate of change.
15 mph
15 miles per 1 hour
15 mi/h
200
Draw a graph starting at (-1, 3) with a slope of 2.
picture...
200
(5, 3) and (2, 3)
0
200
This type of line has an undefined slope
Vertical
200
What are the four types of slope?
Positive, negative, zero, undefined
300
Determine the rate of change
-3 (ft)/h
300
undefined
300
(17, 13) and (22, 8)
-1
300
A line that decreases from the left to the right has a ____________ slope.
Negative
300
What is slope?
The steepness of a line.
400
Determine the rate of change
$4.50/bar, or $4.50 per bar of soap
400
Find Slope
-2
400
Graph the points (-5, 2) and (-3, 2). Is the slope going to be positive or negative, zero, or undefined?
Zero
400
This type of line has a zero slope
Horizontal
400
What variable do we use for slope in an equation?
m
500
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the rate of change? (Hint: Use the slope formula)
75 feet per hour
75 ft/h
500
Draw a graph with a slope of -4/5 that goes through the origin.
Picture...
500
What is the slope of the line that goes through (-3, 8) and (-3, 1)
Undefined
500
If both rise and run are negative, your line will be sloped ______________ as it moves from the left to the right.
Upward
500
What is the two-point slope formula?
m = (y_2 - y_1) / (x_2 - x_1)